# zbMATH — the first resource for mathematics

## Tsuji, Mikio

Compute Distance To:
 Author ID: tsuji.mikio Published as: Tsuji, Mikio; Tsuji, M.
 Documents Indexed: 40 Publications since 1939, including 1 Book Reviewing Activity: 54 Reviews
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#### Co-Authors

 30 single-authored 2 Kong, Dexing 2 Li, Tatsien 2 Nguyen Duy Thai Son 2 Tran Duc Van 1 Ha Tien Ngoan 1 Nakamura, Tsuneyoshi 1 Nguyen-Hoang, Son 1 Takewaki, Izuru 1 Wagner, Peter 1 Yamamoto, Mayumi
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#### Serials

 3 Journal of Mathematics of Kyoto University 3 Proceedings of the Japan Academy 2 Funkcialaj Ekvacioj. Serio Internacia 2 RIMS Kokyuroku 1 Computers and Structures 1 Acta Mathematica Vietnamica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Japanese Journal of Mathematics. New Series 1 Proceedings of the Japan Academy. Series A 1 Southeast Asian Bulletin of Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Doklady Bolgarskoĭ Akademii Nauk 1 Communications in Partial Differential Equations 1 Bulletin des Sciences Mathématiques 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Japanese Journal of Mathematics 1 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 34 Partial differential equations (35-XX) 8 Global analysis, analysis on manifolds (58-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

17 Publications have been cited 61 times in 47 Documents Cited by Year
On Hopf’s formula for Lipschitz solutions of the Cauchy problem for Hamilton-Jacobi equations. Zbl 0905.70012
Tran Duc Van; Nguyen Hoang; Tsuji, Mikio
1997
Regularity of solutions of hyperbolic mixed problems with characteristic boundary. Zbl 0271.35057
Tsuji, Mikio
1972
Global solutions for $$2\times 2$$ hyperbolic systems with linearly degenerate characteristics. Zbl 1141.35416
Kong, De-xing; Tsuji, Mikio
1999
Fundamental solutions of mixed problems for hyperbolic equations with constant coefficients. Zbl 0322.35053
Tsuji, Mikio
1975
The characteristic method and its generalizations for first-order nonlinear partial differential equations. Zbl 0936.35003
Tran Duc Van; Tsuji, Mikio; Nguyen Duy Thai Son
2000
Formation of singularities for Monge-Ampère equations. Zbl 0845.35005
Tsuji, Mikio
1995
Formation of singularities of Hamilton-Jacobi equation. II. Zbl 0655.35009
Tsuji, Mikio
1986
Monge-Ampère equations and surfaces with negative Gaussian curvature. Zbl 0890.35093
Tsuji, Mikio
1997
Analyticity of solutions of hyperbolic mixed problems. Zbl 0264.35050
Tsuji, Mikio
1973
Prolongation of classical solutions and singularities of generalized solutions. Zbl 0722.35025
Tsuji, Mikio
1990
Characterization of the well-posed mixed problem for wave equation in a quarter space. Zbl 0301.35059
Tsuji, Mikio
1974
Geometric approach to blow-up phenomena in non-linear problems. Zbl 0894.35072
Tsuji, Mikio
1998
Integration of Monge-Ampère equations and surfaces with negative Gaussian curvature. Zbl 0978.53006
Ha Tien Ngoan; Kong, Dexing; Tsuji, Mikio
1998
Globally classical solutions for nonlinear equations of first order. Zbl 0594.35052
Tsuji, Mikio; Li, Tatsien
1985
Solution globale et propagation des singularites pour l’équation de Hamilton-Jacobi. Zbl 0418.35002
Tsuji, Mikio
1979
Remarks on characteristics of partial differential equations of first order. Zbl 0694.35026
Tsuji, Mikio; Li, Tatsien
1989
Localization and analytic wave front set. (Localisation et front d’onde analytique.) Zbl 0495.35053
Tsuji, M.
1981
The characteristic method and its generalizations for first-order nonlinear partial differential equations. Zbl 0936.35003
Tran Duc Van; Tsuji, Mikio; Nguyen Duy Thai Son
2000
Global solutions for $$2\times 2$$ hyperbolic systems with linearly degenerate characteristics. Zbl 1141.35416
Kong, De-xing; Tsuji, Mikio
1999
Geometric approach to blow-up phenomena in non-linear problems. Zbl 0894.35072
Tsuji, Mikio
1998
Integration of Monge-Ampère equations and surfaces with negative Gaussian curvature. Zbl 0978.53006
Ha Tien Ngoan; Kong, Dexing; Tsuji, Mikio
1998
On Hopf’s formula for Lipschitz solutions of the Cauchy problem for Hamilton-Jacobi equations. Zbl 0905.70012
Tran Duc Van; Nguyen Hoang; Tsuji, Mikio
1997
Monge-Ampère equations and surfaces with negative Gaussian curvature. Zbl 0890.35093
Tsuji, Mikio
1997
Formation of singularities for Monge-Ampère equations. Zbl 0845.35005
Tsuji, Mikio
1995
Prolongation of classical solutions and singularities of generalized solutions. Zbl 0722.35025
Tsuji, Mikio
1990
Remarks on characteristics of partial differential equations of first order. Zbl 0694.35026
Tsuji, Mikio; Li, Tatsien
1989
Formation of singularities of Hamilton-Jacobi equation. II. Zbl 0655.35009
Tsuji, Mikio
1986
Globally classical solutions for nonlinear equations of first order. Zbl 0594.35052
Tsuji, Mikio; Li, Tatsien
1985
Localization and analytic wave front set. (Localisation et front d’onde analytique.) Zbl 0495.35053
Tsuji, M.
1981
Solution globale et propagation des singularites pour l’équation de Hamilton-Jacobi. Zbl 0418.35002
Tsuji, Mikio
1979
Fundamental solutions of mixed problems for hyperbolic equations with constant coefficients. Zbl 0322.35053
Tsuji, Mikio
1975
Characterization of the well-posed mixed problem for wave equation in a quarter space. Zbl 0301.35059
Tsuji, Mikio
1974
Analyticity of solutions of hyperbolic mixed problems. Zbl 0264.35050
Tsuji, Mikio
1973
Regularity of solutions of hyperbolic mixed problems with characteristic boundary. Zbl 0271.35057
Tsuji, Mikio
1972
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#### Cited by 47 Authors

 5 Tsuji, Mikio 4 Kong, Dexing 4 Secchi, Paolo 4 Wei, Changhua 3 Shizuta, Yasushi 3 Wakabayashi, Seiichiro 3 Yanagisawa, Taku 2 Barron, Emmanuel Nicholas 2 Kamont, Zdzisław 2 Matsumura, Mutsuhide 2 Soga, Hideo 2 Tang, Tao 2 Wang, Jinghua 2 Zhao, Yinchuan 1 Ambrosio, Luigi 1 Baranowska, Anna 1 Cannarsa, Piermarco 1 Chen, Shuxing 1 Ciarski, Roman 1 Ha Tien Ngoan 1 He, Chunlei 1 Huang, Shoujun 1 Ishikawa, Goo 1 Izumiya, Shyuichi 1 Kawashima, Shuichi 1 Korzyuk, Viktor Ivanovich 1 Kozlovskaya, I. S. 1 Lei, Zhen 1 Luiro, Hannes 1 Luoa, Shaoying 1 Matsumura, Akitaka 1 Morando, Alessandro 1 Morimoto, Tohru 1 Nguyen-Hoang, Son 1 Nguyen, Mau Nam 1 Ohno, Mayumi 1 Rauch, Jeffrey B. 1 Rozanova, Olga S. 1 Sarbach, Olivier C. A. 1 Soner, Halil Mete 1 Tersenov, Alkis Savvich 1 Tersenov, Aris Savvich 1 Tiglio, Manuel 1 Trebeschi, Paola 1 Wang, Zenggui 1 Zhang, Qiang 1 Zhou, Qing
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#### Cited in 30 Serials

 5 Proceedings of the Japan Academy. Series A 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Journal of Hyperbolic Differential Equations 4 Proceedings of the Japan Academy 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Communications in Mathematical Physics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Mathematische Annalen 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Differential Geometry and its Applications 1 Journal of Mathematical Sciences (New York) 1 Living Reviews in Relativity 1 Differential Equations 1 Journal of Numerical Mathematics 1 Frontiers of Mathematics in China 1 International Journal of Differential Equations 1 Dynamic Games and Applications 1 Nonlinear Analysis. Theory, Methods & Applications 1 Minimax Theory and its Applications
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#### Cited in 14 Fields

 43 Partial differential equations (35-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Fluid mechanics (76-XX) 4 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 2 Numerical analysis (65-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)