論文リスト

203. Reaction terms avoiding aggregation in slow fluids, to appear in; Nonlinear Analysis Series B: RealWorld Applications
202. Blowup in innte time for 2D Smoluchowski-Poisson equation, to appear in: Differential Integral Equations
201. Global existence and blow up for a system describing the aggregation of micoglia, (with E.E. Espejo), Applied Mathematics Letters 35 (2014) 29-34.
http://dx.doi.org/10.1016/j.ami.2014.04.007
200. Morse index of multiple blow-up solution to the two-dimensional Gel'fand problem, (with F. Gladiali, M. Grossi, and H. Ohtsuka), to appear in; Comm. PDE
199. On a perturbed system of chemotaxis, II, (with M. Kurokiba and R. Takahashi), International J. Pure Appl. Math. 92 (2014) 305-334. DOI:10.12732/ijpam/v92i3.1
198. Roles of Raft-anchored adaptor Cbp/PAG1 in spatial regulation of c-Src kinase, (with T. Saitou, K. Kajiwara, C. Oneyama, T. Suzuki, M. Okada), PLos One,
http://dx.plos.org/10.1371
197. Global-in-time behavior of Lotka-Volterra system with diffusion - skew symmetric case, (with Y. Yamada), Indiana Univ. Math. J. to appear
196. Global dymanics of a reaction-diffusion system with mass conservation, (with E. Latos), J. Math. Anal. Appl. 411 (2014) 107-118.
195. Brownian point vortices and DD-model, Discrete and Continuous Dynamical Systems S. 7 (2014) 161-176, doi:10.3934/dcdss/2014.7.161
194. Positive solution to semilinear parabolic equation associated with critical Sobolev exponent, (with M. Ishiwata), Nonlinear Differential Equations and Applications NoDEQ DOI 10.1007/s00030-01300221-6, 2013.
193. Critical role of transient activity of MT1-MMP for ECM degradation in invadopodia, (with A. Watanabe, D. Hoshino, N. Koshikawa, M. Seiki, T. Suzuki, K. Ichikawa), Plos Computational Biology 9-5 (2013) e1003086
192. Blowup threshold and collapse mass separation for a drift-diffusion system in space-dimension two, (with E.E. Espejo and M. Kurokiba), Comm. Pure Appl. Anal. 12 (2013) 305-334 doi:10/3934/cpaa.2013.12.
191. Exclusion of boundary blowup for 2D chemotaxis system provided with Dirichlet boundary condition for the Poisson part, J. Math. Pure Appl. 100 (2013) 347-367.
190. Irrotational blowup of the solution to compressible Euler equation, J. Fluid Mech. 15 (2013) 617-633 doi:10/s00021-012-0116-z
189. The phosphoinositide-bibding protein ZF21 regulates ECM degradation by invadopodia, (with D. Hoshino, M. Nagano, N. Koshikawa, T. Suzuki, and M. Seiki), Plos One 8(1) e50825 (2013), doi: 10/1371/journal.pone.0050825.
188. Duality and best constant for a Trudinger-Moser inequality involving probability measures, (with T. Ricciardi), to appear in; J. Euro Math. Soc.
187. Asymptotic non-degeneracy of multiple blowup solution to the Liouville-Gel’ fand problem with non-constant coefficient, (with H. Ohtsuka and T. Sato) JMAA, 398 (2013) 692-706 doi. 10.1016/j.jmaa.2012.09.028.
186. Global-in-time behavior of the solution to a Gierer-Meihardt system, (with G. Karali and Y. Yamada), DCDS-A 33 (2013) 2885-2900 doi:103934/dcds/2013.33.xx
185. Control and inhibition analysis of complex formatin processes, (with T. Saitou, K. Itano, D. Hoshino, N. Koshikawa, M. Seiki, K. Ichikawa, and T. Suzuki), Theoretical Biology and Medical Medelling, 9:33 (August 3, 2012)
184. Establishment and validation of computational model for MT1-MMP dependent ECM degradation and intervention strategies, (with D. Hoshino, N. Koshikawa, V. Quaranta, A. Weaver, M. Seiki, K. Ichikawa), PLoS Computational Biology 8-4 (2012) e1002479
183. Non-local reaction-diffusion system involving reaction radius II, rate of convergence, (with N. Kavallaris), to appear in; IMA J. Appl. Math. doi:10.1093/imamat/hxs032.
182. Transient and asymptotic dynamics of a prey-predator system with diffusion, (with E. Latos and Y. Yamada), Math. Meth. Appl. Sci. 35 (2012) 1101-1109.
181. Mathematical modeling of invadopodia formation, (with T. Saitou, M. Rouzimaimaiti, N. Koshikawa, M. Seiki, and K. Ichikawa), J. Theoretical Biology 298 (2012) 138-146. doi:10.1016/j.jtbi.2011.12.018.
180. Degenerate parabolic equation with critical exponent derived from the kinetic theory, III., ε-regularity, (with R. Takahashi), Differential and Integral Equations 25 (2012) 223-250.
179. Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species, (with E.E. Espejo and A. Stevens), preprint 64/2011, Max-Planck Institute, http://www.mis.mpg.de/publications/preprints/2011, Differential and Integral Equations 25 (2012) 251-288.
178. Stationary solutions to a strain-gradient type thermoviscoelastic system, (with I . Pawlow and S. Tasaki), Differential and Integral Equations 25 (2012) 289-340.
177. Non-local reaction-diffusion system involved by reaction radius I, (with N. Kavallaris), IMA J. Appl. Math. (2012) 1-19. doi:10.1093/imamat/hxr068
176. Weak formulation of Hadamard variation applied to the filtration problem, (with T. Tsuchiya), Japan J. Indu. Appl. Math. 28 (2011) 327-350.
175. Vanishing p-capacity of singular sets for p-harmonic functions, (with T. Sato and F. Takahashi), Electron J. Differential Equations (2011) no. 67, 1-15.
174. Stability of the steady state for multi-dimensional thermoelastic systems of shape memory alloys, (with S. Yoshikawa), Discrete and Continuous Dynamical Systems S 5-1, Special Issue (2012) 209-217. doi: 10.3934/dcdss.2012.5.209
173. Reaction diffusion equation with non-local term arises as a mean field limit of the master equation, (with K. Ichikawa and M. Rouzimaimaiti), Discrete and Continuous Dynamical Systems S 5-1, Special Issue (2012) 115-126. doi:10/3934/dcdss.2012.5.11
172. Stochastic simulation of biological reactions, and its applications for studying actin polymerization, (with K. Ichikawa and N. Murata), Physical Biology 7 (2010) 046010.
171. A combined scheme for computing numerical solutions of a free boundary problem, (with N.L.Othman and T.Tsuchiya), Inter. J. Math. Comp. Simu. 1 (2011) 53-60.
170. Asymptotic non-degeneracy of the multiple blow-up solutions to the Gel'fand problem in two space dimensions, (with M. Grossi and H. Ohtsuka), Adv. Differential Equations 16 (2011) 145-164.
169. Stationary solutions to a thermoelastic system on shape memory materials, (with S. Tasaki), Nonlinearity 23 (2010) 2623-2656.
168. Blow-up analysis for an elliptic equation describing stationary vortex flows with variable intensities in 2D-turbulence, (with T. Ricciardi and H. Ohtsuka), J. Differential Equations 249 (2010) 1436-1465.
167. Mathematical models of tumor growth systems, Mathematica Bohemica 137 (2012) 201-218.
166. Semilinear parabolic equation in R^N associated with critical Sobolev exponent, (with R. Ikehata and M. Ishiwata), Ann. Inst. H. Poincare, Analyse nonlineaire 27 (2010) 877-900.
165. Degenerate parabolic equation with critical exponent derived from the kinetic theory, IV., structure of the blowup set, (with R. Takahashi), Adv. Differential Equations 15 (2010) 853-892.
164. An analytic approach to the normalized Ricci flow-like equation, (with N. Kavallaris), Nonlinear Analysis 72 (2010) 2300-2317.
163. Stationary solutions to the Falk system on shape memory alloys, (with S. Tasaki), Math. Meth. Appl. Sci. 33 (2010) 994-1011.
162. Degenerate parabolic equation with critical exponent derived from the kinetic theory, II., blowup threshold, (with R. Takahashi), Differential and Integral Equations 22 (2009) 1153-1172.
161. Global in time solution to a class of tumor growth systems, (with R. Takahashi), Adv. Math. Sci. Appl. 19 (2009) 503-524.
160. Stationary Fix-Caginalp equation with non-local term, (with S. Tasaki), Nonlinear Analysis 71 (2009) 1329-1349.
159. Rigorous derivation of the mean field equation for a point vortex system, (with K. Sawada), Theoretical and Applied Mechanics Japan 57 (2009) 233-239.
158. Degenerate parabolic equation derived from the kinetic theory, (with R. Takahashi), Theoretical and Applied Mechanics Japan 57 (2009) 185-190.
157. Degenerate parabolic equation with critical exponent derived from the kinetic theory, I., generation of the weak solution, (with R. Takahashi), Adv. Differential Equations 14 (2009) 433-476.
156. Derivation of the equilibrium mean field equations of point vortex system and vortex filament system, (with K. Sawada), Theoretical and Applied Mechanics Japan 56 (2008) 285-290.
156. Derivation of the equilibrium mean field equations of point vortex system and vortex filament system, (with K. Sawada), Theoretical and Applied Mechanics Japan 56 (2008) 285-290.
155. Weak solutions to the Navier-Stokes-Poisson equation, (with T. Kobayashi), Advances in Mathematical Sciences and Applications 16 (2008) 141-168.
154. Touchdown and related problems in electrostatic MEMS device equation, (with N.I. Kavallaris and T. Miyasita), Nonlinear Differential Equations and Applications 15 (2008) 363-385.
153. Seminlinear parabolic equation on bounded domain with critical Sobolev exponent, Indiana University Mathematics Journal 57 (2008) 3365-3396.
152. Nonlinear eigenvalue problem with quantization, (with F. Takahashi), Handbook of Differential Equations, Stationary Partial Differential Equations 5 (M. Chipot, ed.), pp. 277-370, Elsevier, Amsterdam, 2008.
151. 楕円型方程式, 応用解析ハンドブック(増田久弥編), 419-470, スプリンガージャパン, 東京, 2010
150. Local property of the mountain-pass critical point and mean field equation, (with H. Ohtsuka), Differential and Integral Equations 21 (2008) 421-432.
149. Derivation of the equilibrium mean field equations of point vortex system and vortex filament system, (with K. Sawada), Theoretical and Applied Mechanics Japan 56 (2008) 285-290.
148. Variational and scaling properties of self-interacting fluids and their mass quantizations, Theoretical and Applied Mechanics Japan 56 (2008) 207-213.
147. Capacity estimate for the blow-up set of parabolic equations, (with F. Takahashi), Math. Z. 259 (2008) 867-878.
146. Asymptotic behavior of the solution to the non-isothermal phase separation, (with A. Ito), Nonlinear Analysis 68 (2008) 1825-1843.
145. Self-Similarity in Chemotaxis Systems, (with Y. Naito), Colloquium Mathematics 111 (2008) 11-34.
144. On a perturbed system of chemotaxis, (with M. Kurokiba), International J. Mathematical Analysis 1 (2007) 1261-1272.
143. Stability of the steady state for the Falk model system of shape memory alloys, (with S. Yoshikawa), Math. Meth. Appl. Sci. 30 (2007) 2233-2245.
142. Blowup in infinite time in the simplified system of chemotaxis, (with H. Ohtsuka and T. Senba), Adv. Math. Sci. Appl. 17 (2007) 445-472.
141. Method of the blowup envelope and applications, Adavanced Studies in Pure Mathematics 47-2, Asymptotic Analysis and Singularity, 519-542, 2007.
140. Mathematical models of tumour angiogenesis, (with A. Kubo), J. Comput. Appl. Math. 204 (2007), No.1, 48-55.
139. Asymptotic non-degeneracy of the solution to the Liouville-Gel'fand problem in two dimensions, (with T. Sato), Comment. Math. Helv. 82 (2007) 353-369.
138. On the finite-time blowup of a parabolic equation describing chemotaxis, (with N. Kavallaris), Differential and Integral Equations. 20 (2007) 293-308.
137. Existence of type II blowup solutions for a semilinear heat equation with critical nonlinearity, (with Y. Naito), J. Differential Equations 232 (2007) 176-211.
136. Blowup analysis for SU(3) Toda system, (with H. Ohtsuka), J. Differential Equations 232 (2007) 419-440.
135. Mean field equation for equilibrium vortices with neutral orientation, (with K. Sawada and F. Takahashi), Nonlinear Analysis 66 (2007) 509-526.
134. Asymptotic behavior of the solution to the non-isothermal phase field equation, (with A. Ito), Nonlinear Analysis 64 (2006) 2454-2479.
133. On one-dimensional phase field model of Penrose-Fife type, (with A. Ito), in; Mathematical Approach to Nonlinear Phenomena: Modelling, Analysis and Simulation, Kenmochi, N., ed., pp. 129-146, Gakkotosho, Tokyo, 2006.
132. Clustering applied to the acoustic source localization, (with T. Iga), Computers and Mathematics with Applications 52 (2006) 671-676.
131. A blowup analysis to the mean field equation for arbitrarily-signed vortex, (with H. Ohtsuka), Banach Center Publications 74 (2006) 185-197.
130. Interface vanishing for solutions to Maxwell and Stokes Systems, (with T. Kobayashi and K. Watanabe), J. math. fluid. mech. 8 (2006) 382-397.
129. A quasi-linear parabolic system of chemotaxis, (with T. Senba), Abstract and Applied Analysis, 2006, Article ID23061.
128. Mean field equation for the equilibrium turbulence and a related functional inequality, (with H. Ohtsuka), Adv. Differential Equations 11 (2006) 281-304.
127. ダム問題に対する最近の進展, (土屋卓也と共著), 応用数理 15 (2005) 16-31.
126. On non-topological multivortex condensates in the generalized self-dual Cherns-Simons theory, (with F. Takahashi), In; Recent Advances in Elliptic and Parabolic Problems (ed. C.-C. Chen, M. Chipot, and C.-S. Lin), pp. 259-270, World Scientific, New Jersey, 2005.
125. Weak solutions to the Navier-Stokes-Poisson equations, (with T. Kobayashi), Proceedings of the 5th East Asia PDE Conference (ed. H.J. Choe, C.-S. Lin, T. Suzuki, and J. Wei), pp. 173-178, Gakkotosho, Tokyo, 2005.
124. Nehari principle and $H$-systems, (with Y. Matsuzawa), Proceedings of the 5th East Asia PDE Conference (ed. H.J. Choe, C.-S. Lin, T. Suzuki, and J. Wei), pp. 179-204, Gakkotosho, Tokyo, 2005.
123. Asymptotic behavior of soltuions to a parabolic ode system, (with A. Kubo and H. Hoshino), Proceedings of the 5th East Asia PDE Conference (ed. H.J. Choe, C.-S. Lin, T. Suzuki, and J. Wei), pp. 121-136, Gakkotosho, Tokyo, 2005.
122. Asymptotic behavior of the solution to Othmer-Stevens model, (with A. Kubo and H. Hoshino), Wseas Transactions on Biology and Biomedicine, Issue 1 2 (2005) 45-50.
121. Some existence results for solutions to $SU(3)$ Toda system, (with D. Chae and H. Ohtsuka), Calc. Vari. 24 (2005) 403-429.
120. Finite element approximation for degenerate parabolic equations, (with A. Mizutani and N. Saito), ESIAM: Mathematical Modelling and Numerical Analysis 39 (2005) 755-780.
119. Inhomogeneous elliptic equation associated with critical Sobolev exponents, (with K. Narukawa), Communications in Applied Analysis 9 (2005) 505-525.
118. Notes on finite difference schemes to a parabolic-elliptic system modelling chemotaxis, (with N. Saito), Appl. Math. Comp. 171 (2005) 72-90.
117. Convexity and uniqueness of the solution to the Liouville equation, (with T. Sato), International J. Pure and Applied Mathematics 23 (2005) 1-21.
116. Parallel optimization applied to magenetoencephalograpy, J. Comp. Appl. Anal. 183 (2005) 177-190.
115. Convergence analysis of trial free boundary methods for the two-dimensional filtration problem, (with T. Tsuchiya), Numer. Math. 100 (2005) 537-564.
114. Blow-up analysis for Liouville type equation in self-dual gauge field theories, (with H. Ohtsuka), Communications in Contemporary Analysis 7 (2005) 177-205.
113. Asymptotic behavior of the solution to a parabolic-ODE system modeling tumour growth, (with A. Kubo), Differential and Integral Equations 17 (2004) 721-736.
112. Existence of the non-topological condensate in self-dual Chern-Simons gauge theory, (with F. Takahashi), Adv. Differential Equations 9 (2004) 539-562.
111. Non-local Gel'fand problem in higher dimension, (with T. Miyasita), Nonlocal Elliptic and Parabolic Problems (ed. P. Biler, G. Karch, and T. Nadzieja), Banch Center Publications 66 (2004) 221-235.
110. Non-topological condensates in self-dual Chern-Simons gauge theory, (with F. Takahashi), Nonlocal Elliptic and Parabolic Problems (ed. P. Biler, G. Karch, and T. Nadzieja), Banch Center Publications 66 (2004) 317-336.
109. Chemotactic collapse of radial solutions to Jager-Luckhaus system, (with T. Senba), Adv. Math. Sci. Appl. 14 (2004) 241-250.
108. Self-similar solutions to a nonlinear parabolic - elliptic system, (with Y. Naito), Taiwanise J. Math. 8 (2004) 43-55.
107. Energy transport problem for self-gravitating particles, Taiwanise J. Math. 8 (2004) 1-14.
106. A new optimization technique for the inverse problem in magnetoencepharography, (with J. Ohama, Y. Adachi, T. Shimozu, M. Kawabata, M Miyamaoto), 4th International Symposium on Noninvasive Functional Source Imagaint within the Human Brain and Heart,
http://www.itab.unich.it/nfsi2003/index.html
105. 電流素片分布法と平行最適化による MEG 逆問題解法, (with 大濱潤二, 川嶋玲子, 足立善昭, 賀戸久), 生体医工学シンポジウム 2003. http://www-akaz.ist.osaka-u.ac.jp/bme2003/
104. Interface regularity for Maxwell and Stokes systems, (with T. Kobayashi and K. Watanabe), Osaka J. Math. 40 (2003) 925-944.
103. Study on the integral equation arising in electroencephalography, (with A. Kubo), Adv. Math. Sci. Appl. 13 (2003) 273-285.
102. Mass quantization of the non-equilibrium mean field to self-interacting particles, Dynamics of Continuous, Discrete and Impulsive Systems 10 (2003) 693-720.
101. Mass normalization of collapses in the theory of self-interacting particles, Adv. Math. Sci. Appl. 13 (2003) 611-623.
100. Blowup behavior of solutions to rescaled Jager-Luckhaus system, (with T. Senba), Adv. Differential Equations 8 (2003) 787-820.
99. Palais-Smale sequence relative to the Trudinger-Moser inequality, (with H. Ohtsuka), Calc. Vari. 17 (2003) 235-255.
98. Finite element approximation of $H$-surfaces, (with Y. Matsuzawa and T. Tsuchiya), Math. Comp. 72 (2003) 607-617.
97. 非適切問題から「心」へー医学数学断章, 現代数学序説(III)第7章, 大阪大学出版会, 2002. 32pp.
96. Time global solutions to a parabolic-elliptic system modelling chemotaxis, (with T. Senba), Asymptotic Analysis 32 (2002) 63-89.
95. Self-similar solutions to a parabolic system modelling chemotaxis, (with Y. Naito and K. Yoshida), J. Differential Equations 184 (2002) 386-421.
94. Weak solutions to a parabolic system of chemotaxis, (with T. Senba), J. Func. Anal. 191 (2002) 17-51.
93. Parabolic system of chemotaxis: blowup in a finite and the infinite time, (with T. Senba), Meth. Appl. Anal. 8 (2001) 349-368.
92. Current states and problems in magnetoencephalography, (in Japanese, with Y. Adachi and M. Shimogawara), Bull. Japan Soc. Indu. Appl. Math. 11 (2001) 13-26.
91. Mathematical foundations for some numerical methods in magnetoencephalography, (with Y. Adachi, H. Kado, N. Saito, and M. Shimogawara), In; J. Nenonen, R.J. Ilmoniemi, and T. Katila, (eds.), Biomag2000, Proc. 12th Int. Conf. on Biomagnetism, Helsinki Univ. of Technology, Espoo, Finland, 2001,pp. 0644-0646.
90. Behavior of solutions to a system related to chemotaxis, (with T. Senba), Nonlinear Anal. 47 (2001) 2551-2562.
89. Concentration lemma, Brezis-Merle type inequality, and a parabolic system of chemotaxis, (with G. Harada, T. Nagai, and T. Senba), Adv. Differential Equations 6 (2001) 1255-1280.
88. Chemotactic collapse in a parabolic - elliptic system of mathematical biology, (with T. Senba), Adv. Differential Equations 6 (2001) 21-50.
87. Chemtactic collapse in a parabolic system of mathematical biology, (with T. Nagai and T. Senba), Hiroshima Math. J. 30 (2001) 463-497.
86. A note on the stability of stationary solutions to a system of chemotaxis, Communications in Contemporary Mathematics 2 (2000) 373-383.
85. Some structures of stationary solutions to Keller-Segel model, (with T. Senba), In; Kenmochi, N. (ed.), Proc. International Conference on Free Boundary Problems, Theory and Applications, Gakkotosho, Tokyo, 2000, pp. 282-297.
84. Local and norm behavior of blowup solutions to a parabolic system of chemotaxis, (with T. Senba), J. Korean Math. Soc. 37 (2000) 929-942.
83. Radial symmetry of self-similar solutions for semilinear heat equations, (with Y. Naito), J. Differential Equations 163 (2000) 407-428.
82. Some structures of the solution set for a stationary system of chemotaxis, (with T. Senba), Adv. Math. Sci. Appl. 10 (2000) 191-224.
81. Singular solutions for a nonlinear Dirichlet problem, (with A. Hamatake), Comm. Appl. Anal. 4 (2000) 411-432
80. Semilinear parabolic equations involving critical Sobolev exponent: local and asymptotic behavior of solutions, (with R. Ikehata), Differential and Integral Equations 13 (2000) 869-901.
79. Blow-up criteria for semilinear parabolic equations, (with A. Kohda), J. Math. Anal. Appl. 243 (2000) 127-139.
78. On a class of L1-illposed quasilinear parabolic equations, (with S. Sakaguchi), Adv. Differential Equations 4 (1999) 671-696.
77. Parameter descending method and the magnetoencephalography, (with Y. Adachi and H. Kado), Information 2 (1999) 443-458.
76. A note on the moving sphere method, (with Y. Naito), Pacific J. Math. 189 (1999) 107-116.
75. A note on the blow-up pattern for a parabolic equation, (with A. Kohda), J. Math. Tokushima Univ. 32 (1998) 19-25.
74. Two dimensional elliptic equation with critical nonlinear growth, (with T. Ogawa), Trans. Amer. Math. Soc. 350 (1998) 4897-4918.
73. Radial symmetry of positive solutions for semilinear elliptic equations on the unit ball in R^n, (with Y. Naito), Funkcial Ekvac. 41 (1998) 215-234.
72. Interior imperfect ignition can not occur on a set of positive measure, (with S. Sakaguchi), Arch. Rational Mech. Anal. 142 (1998) 143-153.
71. Nonexistence of solutions for a degenerate parabolic equation describing imperfect ignition, (with S. Sakaguchi), Nonlinear Anal. 31 (1998) 665-669.
70. -Δ u =λe(α u )/ (α + u)$ v.s. -Δ u = λ eu,, In; Nonlinear Waves, Gakkotosho, Tokyo, 1997, pp. 469-474.
69. An L bound of the finite element approximation of piecewise linear trial functions, (with Y. Matsuzawa), Adv. Math. Sci. Appl. 7 (1997) 997-1010.
68. Equations of gas combustion: S-shaped bifurcation and mushrooms, (with N. Mizoguchi), J. Differential Equations 134 (1997) 183-215.
67. Curved moving planes and applications, Proc. Korea-Japan Partial Diffential Equations Conference (H.J. Choe and H.-O. Bae ed.), Lecture Notes Series 39 (1997) Research Institute of Global Analysis Research Center, Seoul National University
66. Oscillatory theorem and pendent liquid drops, (with K. Narukawa), Pacific J. Math. 176 (1996) 407-420.
65. Radial symmetry of positive solutions for semilinear elliptic equations in a disc, (with Naito, Y., Nishimoto, T.), Hiroshima Math. J. 26 (1996) 531-545.
64. Stable and unstable sets for evolution equations of parabolic and hyperbolic type, (with R. Ikehata), Hiroshima Math. J. 26 (1996) 475-491.
63. Positive solutions for semilinear elliptic equations on expanding annului: mountain pass approach, Funkcial. Ekvac. 39 (1996) 143-164.
62. Semilinear elliptic equations on annulus for three and other space dimensions, (with N. Mizoguchi), Houston J. Math. 22 (1996) 199-215.
61. On the iterative and minimizing sequences for semilinear elliptic equations, II, (with A. Mizutani), Japan J. Indu. Appl. Math. 13 (1996) 1-17.
60. Nonlinear elliptic equations with critical growth related to the Trudinger inequality, (with T. Ogawa), Asymptotic Analysis 10 (1995) 25-40.
59. On the iterative and minimizing sequences for semilinear elliptic equations, I., (with A. Mizutani), Japan J. Indu. Appl. Math. 12 (1995) 309-326.
58. Microscopic asymptotics for solutions of some semilinear elliptic equations, (with T. Ogawa), Nagoya Math. J. 138 (1995) 33-50.
57. Trudinger's inequality and related nonlinear elliptic equations in two dimensions, (with T. Ogawa), In; Yajima, K. (ed.), Spectral and Scattering Theory and Applications, Birkhauser, Basel, 1994, pp. 283-294.
56. Spectral and related properties about the Emden-Fowler equation -Δ u = λ eu on circular domains, (with K. Nagasaki), Math. Ann. 299 (1994) 1-15.
55. Nonlinear eigenvalue problem for a modified capillary surface equation, (with K. Narukawa), Funkcial. Ekvac. 37 (1994) 81-100.
54. Some remarks about the singular perturbed solutions for Emden-Fowler equation with exponential nonlinearity, In; Komatsu, H. (ed.), Functional Analysis and Related Topics, Lecture Notes in Math. 1540, Springer, Berlin, 1993, pp. 341-360.
53. A parabolic inverse problem arising in a mathematical model for the chromatography, (with T. Kimura), SIAM J. Appl. Math. 53 (1993) 1747-1761.
52. Remarks on the blowup shape for a semilinear parabolic equation, Proc. Second GARC Symposium on Pure and Applied Mathematics (S.K. Kim and H.J. Choe ed.), Lecture Notes Series 17 (1993) Research Institute of Global Analysis Research Center, Seoul National University
51. Two dimensional Emden-Fowler equation with exponential nonlinearity, In; Lloyd, N.G., Ni, W.M., Peletier, L.A., Serrin, J. (eds.), Nonlinear Diffusion Equations and their Equibrium States 3, Birkhauser, Boston, 1992, pp. 493-512.
50. Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity, Ann. Inst. H. Poincare , Analyse nonlineaire 9 (1992) 367-398.
49. Radial solutions for Δ u+λ eu=0 on annului in higher dimensions, (with K. Nagasaki) J. Differential Equations 100 (1992) 136-161.
48. Evolution Problems, (with H. Fujita), Part 6 of Handbook of Numerical Analysis 2, Finite Element Methods, Part 1, Ciarlet, P.G., Lions, J.L. (eds.), Elsevier Science Publishers, Amsterdom, 1991, pp. 793-926.
47. Introduction to geometric potential theory, In; Fujita, H., Ikebe, T., Kuroda, S.T. (eds.), Functional-Analytic Methods in Partial Differential Equations, Lecture Notes in Math. 1450, Springer, Berlin, 1990, pp. 88-103.
46. Asymptotic analysis for two-dimensional elliptic eigenvalue problems with exponentially-dominated nonlinearities, (with K. Nagasaki), Asymptotic Analysis 3 (1990) 173-188.
45. Radial and nonradial solutions for the nonlinear eigenvalue problem Δu + λeu=0 on annului in R2, (with K. Nagasaki), J. Differential Equations 87 (1990) 144-168.
44. Nonlinear eigenvalue problem associated to capillary surfaces, (with K. Narukawa), Boll. U. M. I. (7) 4-B (1990) 223-241.
43. Mathematical contributions of Professor Hiroshi Fujita, (with K. Masuda), J. Fac. Sci. Univ. Tokyo Sect. IA Math 36 (1989), no.3, i-v.
42. Asymptotic behavior of the solution for an elliptic boundary value problem with exponential nonlinearity, (with K. Nagasaki), Proc. Japan Acad. Ser. A 65 (1989) 74-76.
41. Nonlinear eigenvalue problem Δ u+λ eu=0 on simply connected domains in R2, (with K. Nagasaki), Proc. Japan Acad. Ser. A 65 (1989) 1-3.
40. Symmetric domains and elliptic equations, In; Mimura, M., Nishida, T. (eds.), Recent Topics in Nonlinear PDE IV, Lecture Notes in Numer. Appl. Anal. 10, Kinokuniya, Tokyo, 1989, pp. 153-177.
39. Radial and nonradial solutions for semilinear elliptic equations on circular domains, In; Talenti, G. (ed.), Symp. Math. 30, Academic Press, London, 1989, pp.153-174.
38. Ultra-hyperbolic approach to some multi-dimensional inverse problems, Proc. Japan Acad. Ser. A 64 (1988) 361-363.
37. Ultra-hyperbolic approach to some multi-dimensional inverse problems, Proc. Japan Acad. Ser. A 64 (1988) 361-363.
36. Single-point blow-up for semilinear heat equations in some nonradial domains, (with Y.G. Chen), Proc. Japan Acad. Ser. A 64 (1988) 57-60.
35. Lifting of local subdifferentiations and elliptic boundary value problems on symmetric domains, II., (with K. Nagasaki), Proc. Japan Acad. Ser. A 64 (1988) 29-34.
34. Lifting of local subdifferentiations and elliptic boundary value problems on symmetric domains, I., (with K. Nagasaki), Proc. Japan Acad. Ser. A 64 (1988) 1-4.
33. Stability of an inverse hyperbolic problem, Inverse Problems 4 (1988) 273-299.
32. On the nonlinear eigenvalue problem Δ u + λeu=0, (with K. Nagasaki), Trans. Amer. Math. Soc. 39 (1988) 591-608.
31. Recent topics in nonlinear PDE. III. Papers from the fourth meeting on nonlinear partial differential equations held at the University of Tokyo, February 24-26, 1986, North-Holland Mathematics Studies, 148. Lecture notes in Numer. Appl. Anal. 9, Kinokuniya, Tokyo, 1987.
30. On a multi-dimensional inverse problem related to the Gel'fand-Levitan theory, In; Knowles, I.W., Saito, Y. (eds.), Differential Equations and Mathematical Physics, Lecture Notes in Math. 1285, Springer, Berlin, 1988.
29. On a nonlinear eigenvalue problem, (with K. Nagasaki), In; Masuda, K., Suzuki, T. (eds.), Recent Topics in Nonlinear PDE III, Lecuter Notes in Numer. Appl. Anal. 8, Kinokuniya, Tokyo, 1987, pp. 185-218.
28. Observability, controllability, and feedback stabilizability for evolution equations, III., (with M. Yamamoto), Japan J. Appl. Math. 4 (1987) 185-203.
27. Gel'fand-Levitan's theory and related inverse problems, In; Cannon, J.R., Hornung, U. (eds.), Inverse Problems, Birkh\"auser, Bases, 1986, pp. 163-172.
26. On a multi-dimensional inverse parabolic problem, Proc. Japan Acad. Ser. A 58 (1986) 83-86.
25. A remark on the L bounds of the Ritz operator associated with a finite element approximation, (with H. Fujita), Numer. Math. 49 (1986) 529-544.
24. Non-harmonic Fourier series and its applications, (with K. Narukawa), Appl. Math. Optim. 14 (1986) 249-264.
23. Inverse problems for heat equations on compact intervals and on circles, I., J. Math. Soc. Japan 38 (1986) 39-65.
22. Stability of boundary identification for hyperbolic equations, Proc. IMACS-IFAC Symposium on Modelling and Simulation for Control of Lumped and Distributed Parameter Systems, Villeneuve D'ASCQ, France, 1986.
21. Observability, controllability, and feedback stabilizability for evolution equations, II., (with M. Yamamoto), Japan J. Appl. Math. 2 (1985) 309-327.
20. Observability, controllability, and feedback stabilizability for evolution equations, I., (with M. Yamamoto), Japan J. Appl. Math. 2 (1985) 211-228.
19. Gel'fand-Levitan's theory, deformation formulas, and inverse problems, J. Fac. Sci. Univ. Tokyo, Sec. IA 32 (1985) 223-271.
18. On the inverse Strum-Liouville problem for spatially symmetric operators, III., J. Differential Equations 58 (1985) 257-281.
17. On the inverse Strum-Liouville problem for spatially symmetric operators, II., J. Differential Equations, 58 (1985) 243-256.
16. On the inverse Strum-Liouville problem for spatially symmetric operators, I., J. Differential Equations 56 (1985) 165-194.
15. A stability theorem on the boundary identification for coefficients of hyperbolic equations, Proc. Japan Acad. Ser. A 60 (1984) 309-311.
14. Deformation formulas and their applications to spectral and evolutional inverse problems, In; Fujita, H., Lax, P.D., Strang, G. (eds.), Nonlinear Partial Differential Equations in Applied Sciences, North-Holland, Amsterdom, 1983, pp. 289-311.
13. Uniqueness and nonuniqueness in an inverse problem for the parabolic equation, J. Differential Equations 47 (1983) 296-316.
12. Inverse problems for the heat equation (in Japanese), Sugaku 34 (1982) 55-64.
11. Uniqueness and nonuniqueness in an inverse problem for parabolic equations, In; Glowinski, R., Lions, J.L. (eds.), Computing Methods in Applied Sciences and Engineering V, North-Holland, Amsterdom, 1982, pp. 659-668.
10. On a certain inverse problem for the heat equation on the circle, Proc. Japan Acad. Ser. A 58 (1982) 243-245.
9. Remarks on the uniqueness in an inverse problem for the heat equation, II., Proc. Japan Acad. Ser. A 58 (1982) 175-177.
8. Remarks on the uniqueness in an inverse problem for the heat equation, I., Proc. Japan Acad. Ser. A 58 (1982) 93-96.
7. Full-discrete finite element approximation of evolution equation ut + A(t)u=0 of parabolic type, J. Fac. Sci. Univ. Tokyo, Sec. IA 29 (1982) 195-240.
6. On the finite element approximation for evolution equations of parabolic type, (with H. Fujita), In; Glowinski, R., Lions, J.L. (eds.), Computing Methods in Applied Sciences and Engineering III, Lecture Notes in Math. 704, Springer, Berlin, 1981, pp. 207-221.
5. Certain moving sensors and observability for parablic equations, Numer. Func. Anal. Optim. 2 (1980) 279-300.
4. A uniqueness theorem in an identification problem for coefficients of parabolic equations, (with R. Murayama), Proc. Japan Acad. Ser. A 56 (1980) 259-263.
3. On some approximation theorems of evolution equations of parabolic type, In; Fujita, H., Yamaguchi, M. (eds.), Numerical Analysis of Evolution Equations, Lecture Notes in Numer. Appl. Anal. 1, Kinokuniya, Tokyo, 1979, pp. 63-82.
2. On the rate of convergence of the difference finite element approximation for parabolic equations, Proc. Japan Acad. Ser. A 54 (1978) 326-331.
1. An abstract study of Galerkin's method for the evolution equation ut + A(t)u=0 of parabolic type with the Neumann boundary condition, J. Fac. Sci. Univ. Tokyo, Sec. IA 25 (1978) 25-46.

数理解析研究所講究録

59. Trudinger-Moser inequality for point vortex mean field limit with multi-intensities (with X. Zhang), Progress in Variational Problems : Variational Problems Interacting with Probability Theories, 数理解析研究所講究録 1837 (2013) 1-20.
58. Drift-Diffusion Model and 2d Brownian point vortices, Modern approach and developments to Onsager's theory on statistical vortices, 数理解析研究所講究録 1798 (2012) 213-229.
57. A Simple Derivation of Hadamard's Variational Formula(with T. Tsuchiya), Mathematical foundation and development of algorithms for scientific computing, 数理解析研究所講究録 1733 (2011) 127-141.
56. Smoluchowski-Poisson equation and harmonic heat flow - quantization observed in nonlinear analysis and diffusion geometry, The progress and view of Harmonic Map Theory, 数理解析研究所講究録 1720 (2010) 37-67.
55. 形状記憶合金ワイヤーの運動を記述する熱弾性方程式の導出 (with S. Okabe and S. Yoshikawa), 非線形発展方程式と現象の数理, 数理解析研究所講究録 1693 (2010) 1-10.
54. On a semilinear elliptic equation with subcritical exponent in higher dimensional space (with R. Takahashi), 変分問題とその周辺, 数理解析研究所講究録 1671 (2009) 96-112.
53. Degenerate parabolic equation derived from kinetic theory, revisited (with R. Takahashi), 変分問題とその周辺, 数理解析研究所講究録 1628 (2009) 116-137.
52. Degenerate parabolic equation derived from kinetic theory, 変分問題とその周辺, 数理解析研究所講究録 1591 (2008) 164-188.
51. Mass quantization in equilibrium self-gravitating fluid, 変分問題とその周辺, 数理解析研究所講究録 1528 (2007) 182-210.
50. On a non-local equation describing the ricci flow (with N.I. Kavallaris), 変分問題とその周辺, 数理解析研究所講究録 1528 (2007) 1-11.
49. Field variation and mathematics of blowup (with N. Saito), Computational science : Fundamental and emerging technology, 数理解析研究所講究録 1505 (2006) 106-120.
48. Mathematical models of tumour angiogenesis and simulations (with A. Kubo and N. Saito), Theory of bio-mathematics and its applications, 数理解析研究所講究録 1499 (2006) 135-146.
47. Weak solutions to the Navier-Stokes-Poisson equations (with T. Kobayashi), Mathematical analysis in fluid and gas dynamics : A conference in honor of Professor Tai-Ping Liu on his 60th Birthday, 数理解析研究所講究録 1495 (2006) 1-7.
46. 定常乱流の平均場について (with K. Sawada), Nonlinear wave phenomena and applications, 数理解析研究所講究録 1483 (2006) 35-50.
45. Closed dissipative systems : the sealed variation, 変分問題とその周辺, 数理解析研究所講究録 1464 (2006) 122-144.
44. Asymptotic non-degeneracy of the solution to the Liouville equation (with T. Sato), 変分問題とその周辺, 数理解析研究所講究録 1464 (2006) 82-92.
43. 星雲方程式の弱解について (with T. Kobayashi), 波の非線形現象の数理とその応用, 数理解析研究所講究録 1430 (2005) 76-80.
42. Blowup in infinite time in the simplified system of chemotaxis (with H. Ohtsuka and T. Senba), Dynamics of spatio - temporal patterns for the system of reaction - diffusion equations, 数理解析研究所講究録 1416 (2005) 30-63.
41. Blowup analysis for $SU(3)$ Toda system (with H. Ohtsuka), 変分問題とその周辺, 数理解析研究所講究録 1405 (2004) 73-99.
40. On non-topological multivortex condensates in the generalized self-dual Chern-Simons theory (with F. Takahashi), 変分問題とその周辺, 数理解析研究所講究録 1405 (2004) 1-13.
39. Eigenvalue problem of semilinear elliptic equation with non-local term (with T. Miyasita), Mathematical models and dynamics of functional equations, 数理解析研究所講究録 1372 (2004) 44-50.
38. Interface vanishing for solutions to Maxwell and Stokes systems (with T. Kobayashi and K. Watanabe), Nonlinear wave phenomena and applications, 数理解析研究所講究録 1368 (2004) 65-71.
37. A blowup mechanism with high emergence : theory of self-organization, 変分問題とその周辺, 数理解析研究所講究録 1347 (2003) 96-118.
36. A finite difference scheme to the system of self-interacting particles (with N. Saito), The numerical solution of differential equations and linear computation, 数理解析研究所講究録 1320 (2003) 18-28.
35. ダム問題に対する反復解法の収束 (with T. Tuchiya), The numerical solution of differential equations and linear computation, 数理解析研究所講究録 1320 (2003) 1-6.
34. Mass normalization of callapses in the theory of self-interacting particles, Mathematical aspects and applications of nonlinear wave phenomena, 数理解析研究所講究録 1311 (2003) 124-139.
33. Field and particles - the quantized blowup mechanism, 変分問題とその周辺, 数理解析研究所講究録 1307 (2003) 189-211.
32. Numerical solutions for nonlinear semigroup and degenerate parabolic equations (with N. Saito), Dynamics of functional equations and related topics, 数理解析研究所講究録 1254 (2002) 32-40.
31. Self-interacting particles - the quantized blowup mechanism, International Conference on Reaction-Diffusion Systems: Theory and Applications, 数理解析研究所講究録 1249 (2002) 103-116.
30. New solver to the ill-posed problem in magnetoencephalography (with N. Saito, Y. Adachi, H. Kado and M. Simogawara), 変分問題とその周辺, 数理解析研究所講究録 1237 (2001) 29-48.
29. Integral equations for electroencephalography (with A. Kubo), Qualitative theory of functional equations and its application to mathematical science, 数理解析研究所講究録 1216 (2001) 1-12.
28. 選好空間を構成せずに議案行動より直接計算する非対称Banzhaf指数の一考察 (with R. Endo and K. Ano), Nonlinear evolution equations and applications, 数理解析研究所講究録 1207 (2001) 128-135.
27. Self-similar solutions to a parabolic system modelling chemotaxis (with Y. Naito and K. Yoshida), Nonlinear evolution equations and applications, 数理解析研究所講究録 1197 (2001) 189-195.
26. Concentration behavior of blow-up solutions for a simplified system of chemotaxis (with T. Nagai and T. Senba), 変分問題とその周辺, 数理解析研究所講究録 1181 (2001) 140-176.
25. Mathematical analysis for a simplified system of chemotaxis, Nonlinear diffusive systems - dynamics and asymptotic analysis, 数理解析研究所講究録 1178 (2000) 95-117.
24. Blow-up criteria for semilinear parabolic equations (with A. Kohda), Nonlinear evolution equations and their applications, 数理解析研究所講究録 1135 (2000) 1-14.
23. The behavior of blow-up solutions of Keller-Segel systems (with G. Harada), Mathematical models in functional equations, 数理解析研究所講究録 1128 (2000) 148-155.
22. Chemotactic collapse in a parabolic-elliptic system of mathematical biology (with T. Senba), 変分問題とその周辺, 数理解析研究所講究録 1117 (1999) 64-97.
21. Nonsymmetric Indices of Power and their Application to the House of Councilors in Japan (with K. Ano and S. Susumi), Continuous and Discrete Mathematics for Optimization, 数理解析研究所講究録 1114 (1999) 126-138.
20. Radial symmetry of self-similar solutions for semilinear heat equations (with Y. Naito), Methods and applications for functional equations, 数理解析研究所講究録 1083 (1999) 181-186.
19. Mathematics of a slime mold equation: variational structure and dynamical systems, Methods and applications for functional equations, 数理解析研究所講究録 1083 (1999) 134-153.
18. Blow-up phenomena for solutions to parabolic equations: what's the problem now?, Nonlinear mathematics and functional equations, 数理解析研究所講究録 1034 (1998) 52-64.
17. Keller-Segel system and the concentration lemma (with T. Nagai and T. Senba), 変分問題とその周辺, 数理解析研究所講究録 1025 (1998) 75-80.
16. On the family of singular solutions to certain nonlinear elliptic boundary value problems (with A. Hamatake), Structure of functional equations and mathematical methods, 数理解析研究所講究録 984 (1997) 138-146.
15. Nehari's principle and the critical exponent, 変分問題とその周辺, 数理解析研究所講究録 951 (1996) 76-84.
14. Asymptotics for solutions of the two-dimensional nonlinear elliptic equations with critical growth, 変分問題とその周辺, 数理解析研究所講究録 911 (1995) 52-61.
13. Trudinger's inequality and related elliptic equations, Mathematical analysis of phenomena in fluid and plasma dynamics, 数理解析研究所講究録 824 (1993) 198-211.
12. 対称性破壊 : 分岐論からの接近, 変分問題と非線型楕円型方程式, 数理解析研究所講究録 780 (1992) 122-140.
11. A parabolic inverse problem in chromatography (with T. Kimura), 発展方程式と非線型問題への応用, 数理解析研究所講究録 755 (1991) 127-133.
10. Asymptotic analysis for the Emden-Fowler equation - $\bigtriangleup u = \lambda e^u$, Mathematical analysis of phenomena in fluid and plasma dynamics, 数理解析研究所講究録 745 (1991) 183-192.
9. 指数型非線形性の楕円型境界値問題 : 解の枝の大域的接続, Mathematical analysis of phenomena in fluid and plasma dynamics, 数理解析研究所講究録 734 (1990) 72-90.
8. Ultra-hyperbolic approach to some multi-dimensional inverse problems, 発展方程式とその応用, 数理解析研究所講究録 698 (1989) 74-93.
7. Semilinear equations with exponential nonlinearity, Solutions for nonlinear elliptic equations, 非線形楕円型偏微分方程式の解, 数理解析研究所講究録 679 (1989) 80-105.
6. Non-harmonic Fourier series とその応用, Mathematical theory of control and systems, 制御とシステムの数理, 数理解析研究所講究録 562 (1985) 30-47.
5. Inverse problems for hyperbolic equations ; the uniqueness and stability, 非線型偏微分方程式の理論と応用, 数理解析研究所講究録 545 (1985) 2-25.
4. Observability, controllability, and feedback stabilizability for evolution equations (with M. Yamamoto), 偏微分方程式の解の構造の研究, 数理解析研究所講究録 531 (1984) 62-85.
3. 逆問題におけるある分岐の現象について, 制御とシステムの数理, 数理解析研究所講究録 485 (1983) 112-144.
2. 放物型方程式の或る逆問題について (with R. Murayama), 偏微分方程式の解の構造の研究, 数理解析研究所講究録 376 (1980) 101-112.
1. 放物型発展方程式の近似定理 - 有限要素法などへの作用素論的アプローチ, 偏微分方程式の解の構造の研究, 数理解析研究所講究録 357 (1979) 165-188.

統計数理研究所共同研究リポート

2. Finite element discretization and nonlinear semigroup theory, 核融合研究における数値解析手法と最適化, 統計数理研究所共同研究リポート 105 (1997) 219-228.
1. Interior imperfect ignition does not occur in positive measure, MHD 数理モデルによる核融合計算と最適設計, 統計数理研究所共同研究リポート 85 (1996) 55-58.

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4. Biot-Savart の式を用いたクラスタリング脳磁場源解析の妥当性, (林 娟, 山岸弘幸と共著), 日本生体磁気学会誌, 22 (2010) 37-43.
3. 電流双極子を自動決定する複数電流双極子推定手法, (佐藤真, 足立善昭と共著), 日本生体磁気学会誌, 23 (2010) 36-37.
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1. 移動目標物の追尾制御に関する考察, (高木史朗, 坂原洋人, 田端哲, 山岸弘幸, 宮崎文夫と共著), 日本ロボット学会誌, 26-8 (2008) 944-950.