# zbMATH — the first resource for mathematics

## Fukuda, Isamu

Compute Distance To:
 Author ID: fukuda.isamu Published as: Fukuda, I.; Fukuda, Isamu
 Documents Indexed: 18 Publications since 1975

#### Co-Authors

 1 single-authored 10 Tsutsumi, Masayoshi 4 Okada, Atsuko 3 Suzuki, Ryuichi 2 Anada, Kouichi 1 Ishii, Hitoshi
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#### Serials

 3 Funkcialaj Ekvacioj. Serio Internacia 2 Journal of Mathematical Analysis and Applications 2 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Differential Equations 1 Mathematica Japonica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Differential and Integral Equations 1 Advances in Mathematical Sciences and Applications 1 Advances in Differential Equations 1 Proceedings of the Japan Academy

#### Fields

 18 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

#### Citations contained in zbMATH

15 Publications have been cited 205 times in 141 Documents Cited by Year
On coupled Klein-Gordon-Schrödinger equations. II. Zbl 0396.35082
Fukuda, Isamu; Tsutsumi, Masayoshi
1978
On the Yukawa-coupled Klein-Gordon-Schrödinger equations in three space dimensions. Zbl 0313.35065
Fukuda, Isamu; Tsutsumi, Masayoshi
1975
On solutions of the derivative nonlinear Schrödinger equation. Existence and uniqueness theorem. Zbl 0478.35032
Tsutsumi, Masayoshi; Fukuda, Isamu
1980
On coupled Klein-Gordon-Schrödinger equations. III: Higher order interaction, decay and blow-up. Zbl 0415.35071
Fukuda, Isamu; Tsutsumi, Masayoshi
1979
Total versus single point blow-up of solutions of a semilinear parabolic equation with localized reaction. Zbl 1032.35040
2003
On solutions of the derivative nonlinear Schrödinger equation. II. Zbl 0491.35016
Tsutsumi, Masayoshi; Fukuda, Isamu
1981
Blow-up behavior for a nonlinear heat equation with a localized source in a ball. Zbl 1085.35033
Fukuda, Isamu; Suzuki, Ryuichi
2005
Uniqueness of solutions to the Cauchy problem for $$u_ t-u\Delta u+\gamma|\nabla u|^ 2=0$$. Zbl 0806.35063
Fukuda, Isamu; Ishii, Hitoshi; Tsutsumi, Masayoshi
1993
Quasilinear parabolic equations with localized reaction. Zbl 1102.35018
Fukuda, Isamu; Suzuki, Ryuichi
2005
The initial-boundary value problem for a nonlinear degenerate parabolic equation. Zbl 0737.35035
Fukuda, Isamu; Tsutsumi, Masayoshi
1991
Regional blow-up and decay of solutions to the initial-boundary value problem for $$u_ t = uu_{xx} - \gamma (u_ x)^ 2 + ku^ 2$$. Zbl 0872.35057
Anada, Kouichi; Fukuda, Isamu; Tsutsumi, Masayoshi
1996
On solutions of some nonlinear dispersive wave equations. Zbl 0449.35087
Tsutsumi, Masayoshi; Fukuda, Isamu
1979
Behavior of solutions of nonlinear parabolic equations with localized reactions. Zbl 1042.35555
2001
Blow-up of solutions of nonlinear parabolic equations with localized reaction. Zbl 0966.35067
2000
Local existence and uniqueness of viscosity solution for $$u_ t=u\Delta u-\gamma|\nabla u|^ 2+f(t,u)$$. Zbl 0872.49011
Anada, K.; Fukuda, I.; Tsutsumi, M.
1997
Blow-up behavior for a nonlinear heat equation with a localized source in a ball. Zbl 1085.35033
Fukuda, Isamu; Suzuki, Ryuichi
2005
Quasilinear parabolic equations with localized reaction. Zbl 1102.35018
Fukuda, Isamu; Suzuki, Ryuichi
2005
Total versus single point blow-up of solutions of a semilinear parabolic equation with localized reaction. Zbl 1032.35040
2003
Behavior of solutions of nonlinear parabolic equations with localized reactions. Zbl 1042.35555
2001
Blow-up of solutions of nonlinear parabolic equations with localized reaction. Zbl 0966.35067
2000
Local existence and uniqueness of viscosity solution for $$u_ t=u\Delta u-\gamma|\nabla u|^ 2+f(t,u)$$. Zbl 0872.49011
Anada, K.; Fukuda, I.; Tsutsumi, M.
1997
Regional blow-up and decay of solutions to the initial-boundary value problem for $$u_ t = uu_{xx} - \gamma (u_ x)^ 2 + ku^ 2$$. Zbl 0872.35057
Anada, Kouichi; Fukuda, Isamu; Tsutsumi, Masayoshi
1996
Uniqueness of solutions to the Cauchy problem for $$u_ t-u\Delta u+\gamma|\nabla u|^ 2=0$$. Zbl 0806.35063
Fukuda, Isamu; Ishii, Hitoshi; Tsutsumi, Masayoshi
1993
The initial-boundary value problem for a nonlinear degenerate parabolic equation. Zbl 0737.35035
Fukuda, Isamu; Tsutsumi, Masayoshi
1991
On solutions of the derivative nonlinear Schrödinger equation. II. Zbl 0491.35016
Tsutsumi, Masayoshi; Fukuda, Isamu
1981
On solutions of the derivative nonlinear Schrödinger equation. Existence and uniqueness theorem. Zbl 0478.35032
Tsutsumi, Masayoshi; Fukuda, Isamu
1980
On coupled Klein-Gordon-Schrödinger equations. III: Higher order interaction, decay and blow-up. Zbl 0415.35071
Fukuda, Isamu; Tsutsumi, Masayoshi
1979
On solutions of some nonlinear dispersive wave equations. Zbl 0449.35087
Tsutsumi, Masayoshi; Fukuda, Isamu
1979
On coupled Klein-Gordon-Schrödinger equations. II. Zbl 0396.35082
Fukuda, Isamu; Tsutsumi, Masayoshi
1978
On the Yukawa-coupled Klein-Gordon-Schrödinger equations in three space dimensions. Zbl 0313.35065
Fukuda, Isamu; Tsutsumi, Masayoshi
1975
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#### Cited by 201 Authors

 9 Kong, Linghua 8 Shi, Qihong 6 Wang, Shu 5 Guo, Boling 4 Fukuda, Isamu 4 Liu, Qilin 4 Ponce, Gustavo 4 Sulem, Catherine 4 Tsutsumi, Masayoshi 4 Wang, Jinhuan 4 Zhang, Luming 4 Zheng, Sining 3 Bao, Weizhu 3 Hayashi, Nakao 3 Li, Wan-Tong 3 Li, Yuxiang 3 Ohta, Masahito 3 Ozawa, Tohru 3 Park, Jong Yeoul 3 Wang, Baoxiang 3 Wang, Bixiang 3 Wang, Jialing 3 Wang, Tingchun 3 Wang, Yushun 3 Zhao, Caidi 3 Zhou, Wenshu 2 Baumstark, Simon 2 Chen, Fangqi 2 Chen, Juan 2 Dehghan Takht Fooladi, Mehdi 2 Duan, Yali 2 Gao, Hongjun 2 Hayashi, Masayuki 2 Ishiwata, Tetsuya 2 Jenkins, Robert J. jun. 2 Ji, Bingquan 2 Kenig, Carlos Eduardo 2 Kikuchi, Hiroaki 2 Kim, Jung Ae 2 Lange, Horst 2 Li, Yong 2 Li, Yongsheng 2 Liang, Dong 2 Linares, Felipe 2 Liu, Jiaqi 2 Liu, Ruxun 2 Liu, Xiao 2 Lu, Xiaobo 2 Miao, Changxing 2 Ning, Cui 2 Perry, Peter A. 2 Santos, Gleison N. 2 Schratz, Katharina 2 Simpson, Gideon 2 Vega, Luis 2 Wang, Junjie 2 Wu, Yifei 2 Xu, Guixiang 2 Yao, Zhengan 2 Zeng, Weili 2 Zhang, Jingjing 2 Zhao, Xiaofei 2 Zhou, Shengfan 1 Almeida, A. F. 1 Ammari, Zied 1 Anada, Kouichi 1 Bachelot, Alain 1 Bai, Ruobing 1 Banquet Brango, Carlos 1 Bona, Jerry Lloyd 1 Boni, Théodore Kouassi 1 Cao, Jianxiong 1 Cao, Ying 1 Carvajal, Xavier Paredes 1 Castillo, Paul E. 1 Cavalcanti, Marcelo Moreira 1 Chang, Suqin 1 Chen, Meng 1 Chen, Miaochao 1 Chen, Shaohua 1 Chen, Yichao 1 Compaan, E. 1 Dai, Hongbin 1 Darwish, Adel A. 1 Deng, Weibing 1 Diabate, Nabongo 1 Du, Lili 1 Duan, Jinqiao 1 Erdoğan, Mehmet Burak 1 Falconi, Marco 1 Fan, Engui 1 Fan, Mingshu 1 Fei, Shumin 1 Ferreira, Lucas Catão de Freitas 1 Fujiwara, Kazumasa 1 Gao, Hang 1 Gómez, Sergio Alejandro 1 Grujić, Zoran 1 Guo, Qing 1 Gürel, T. Burak ...and 101 more Authors
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#### Cited in 57 Serials

 19 Journal of Differential Equations 13 Journal of Mathematical Analysis and Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Applied Mathematics and Computation 6 Computers & Mathematics with Applications 6 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of Mathematical Physics 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Acta Mathematicae Applicatae Sinica. English Series 3 Mathematical Methods in the Applied Sciences 3 Physica D 3 Applied Numerical Mathematics 3 Advances in Difference Equations 3 Boundary Value Problems 2 Chaos, Solitons and Fractals 2 Journal of Computational and Applied Mathematics 2 Acta Applicandae Mathematicae 2 Applied Mathematical Modelling 2 SIAM Journal on Mathematical Analysis 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Science China. Mathematics 1 Computer Physics Communications 1 Journal of Computational Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Numerical Algorithms 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journal of Dynamics and Differential Equations 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 Journal of Nonlinear Science 1 ETNA. Electronic Transactions on Numerical Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Henri Poincaré 1 Nonlinear Analysis. Real World Applications 1 Analysis and Applications (Singapore) 1 Proceedings of the Japan Academy 1 Frontiers of Mathematics in China 1 Kinetic and Related Models 1 Advances in Mathematical Physics 1 Evolution Equations and Control Theory
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#### Cited in 21 Fields

 126 Partial differential equations (35-XX) 32 Numerical analysis (65-XX) 19 Dynamical systems and ergodic theory (37-XX) 15 Quantum theory (81-XX) 6 Fluid mechanics (76-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)