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Fujita, Hiroshi

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Author ID: fujita.hiroshi Recent zbMATH articles by "Fujita, Hiroshi"
Published as: Fujita, H.; Fujita, Hiroshi
External Links: MGP · Wikidata
Documents Indexed: 59 Publications since 1958, including 8 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 1,831 times in 1,515 Documents Cited by Year
On the blowing up of solutions of the Cauchy problem for \(u_ t =\Delta u+u^{1+\alpha}\). Zbl 0163.34002
Fujita, Hiroshi
518
1966
On the Navier-Stokes initial value problem. I. Zbl 0126.42301
Fujita, H.; Kato, Tosio
513
1964
On the nonstationary Navier-Stokes systems. Zbl 0114.05002
Kato, Tosio; Fujita, H.
129
1962
On the nonlinear equations \(\Delta u + e^ u = 0\) and \(\partial v/\partial t = \Delta v + e^ v\). Zbl 0216.12101
Fujita, Hiroshi
91
1969
On the existence and regularity of the steady-state solutions of the Navier-Stokes equation. Zbl 0111.38502
Fujita, Hiroshi
69
1961
A mathematical analysis of motions of viscous incompressible fluid under leak or slip boundary conditions. Zbl 0939.76527
Fujita, Hiroshi
67
1994
On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations. Zbl 0228.35048
Fujita, Hiroshi
48
1970
A coherent analysis of Stokes flows under boundary conditions of friction type. Zbl 1058.76023
Fujita, Hiroshi
42
2002
Evolution problems. Zbl 0875.65084
Fujita, Hiroshi; Suzuki, Takashi
36
1991
Non-stationary Stokes flows under leak boundary conditions of friction type. Zbl 0993.76014
Fujita, Hiroshi
33
2001
On existence of weak solutions of the Navier-Stokes equations in regions with moving boundaries. Zbl 0206.39702
Fujita, Hiroshi; Sauer, N.
33
1970
On fractional powers of the Stokes operators. Zbl 0235.35067
Fujita, Hiroshi; Morimoto, Hiroko
30
1970
On the finite element method for parabolic equations. I: Approximation of homomorphic semi-groups. Zbl 0331.65076
Fujita, H.; Mizutani, A.
23
1976
On the uniqueness and non-uniqueness of solutions of initial value problems for some quasi-linear parabolic equations. Zbl 0157.17603
Fujita, H.; Watanabe, S.
23
1968
Operator theory and numerical methods. Zbl 0976.65098
Fujita, Hiroshi; Saito, Norikazu; Suzuki, Takashi
22
2001
Variational inequalities for the Stokes equation with boundary conditions of friction type. Zbl 0926.76092
Fujita, H.; Kawarada, H.
22
1998
Regularity of solutions to the Stokes equations under a certain nonlinear boundary condition. Zbl 0995.35048
Saito, Norikazu; Fujita, Hiroshi
21
2002
On stationary solutions to Navier-Stokes equation in symmetric plane domains under general out-flow condition. Zbl 0946.35063
Fujita, Hiroshi
16
1998
Remarks on the Stokes flow under slip and leak boundary conditions of friction type. Zbl 1189.76135
Fujita, Hiroshi
12
2002
A remark on the existence of the Navier-Stokes flow with non-vanishing outflow condition. Zbl 0887.35118
Fujita, H.; Morimoto, H.
11
1997
On the set of blow-up points and asymptotic behaviours of blow-up solutions to a semilinear parabolic equation. Zbl 0732.35008
Fujita, Hiroshi; Chen, Yungang
8
1988
A remark on the existence of steady Navier-Stokes flows in 2D semi-infinite channel involving the general outflow condition. Zbl 0981.35049
Morimoto, H.; Fujita, H.
7
2001
Analytical and numerical approaches to stationary flow problems with leak and slip boundary conditions. Zbl 0844.76018
Fujita, Hiroshi; Kawarada, Hideo; Sasamoto, Akira
7
1995
A remark on the existence of steady Navier-Stokes flows in a certain two-dimensional infinite channel. Zbl 1042.35049
Morimoto, Hiroko; Fujita, Hiroshi
6
2002
Remarks on traces of \(H^1\)-functions defined in a domain with corners. Zbl 0981.46032
Saito, Norikazu; Fujita, Hiroshi
5
2000
Stability analysis of Navier-Stokes flows in annuli. Zbl 0881.76023
Fujita, H.; Morimoto, H.; Okamoto, H.
5
1997
Stationary Navier-Stokes flow in 2-dimensional Y-shape channel under general outflow condition. Zbl 0995.35047
Morimoto, Hiroko; Fujita, Hiroshi
4
2002
Distribution theoretic approach to fictitious domain method for Neumann problems. Zbl 0833.65120
Fujita, H.; Kawahara, H.; Kawarada, H.
4
1995
Wave motion breaking upon the shore. Zbl 0924.76074
Kawarada, H.; Fujita, H.; Suito, H.
3
1998
The penalty method and some nonlinear initial value problems. Zbl 0268.35003
Fujita, Hiroshi
3
1971
On the asymptotic stability of solutions of the equation \(v_ t = \Delta v + e^ v\). Zbl 0215.16003
Fujita, Hiroshi
3
1970
Estimation of the frequencies of thin elastic plates with free edges. Zbl 0086.38605
Kato, Tosio; Fujita, Hiroshi; Nakata, Yoshimoto; Newman, Morris
3
1958
Tosio Kato’s method and principle for evolution equations in mathematical physics. Papers from the international workshop held at Hokkaido University, Sapporo, Japan, June 27–29, 2001. Zbl 1009.35500
Fujita, Hiroshi (ed.); Kuroda, S. T. (ed.); Okamoto, Hisashi (ed.)
2
2001
A remark on the \(L^{\infty}\) bounds of the Ritz operator associated with a finite element approximation. Zbl 0616.65106
Suzuki, Takashi; Fujita, Hiroshi
2
1986
On the semi-discrete finite element approximation for the evolution equation \(u_t+A(t)u=0\) of parabolic type. Zbl 0434.65072
Fujita, Hiroshi
2
1977
The unique existence of solutions for the initial-value problem of Navier-Stokes equations. Zbl 0122.10102
Fujita, Hiroshi
2
1962
Stationary Navier-Stokes flow in a 2D infinite channel of \(V\)-shape involving general outflow condition. Zbl 1062.35070
Morimoto, Hiroko; Fujita, Hiroshi
1
2002
An analytical study of optimal speed of convergence of iterations in DDM under certain shape assumptions of domains. Zbl 0911.65118
Fujita, Hiroshi; Saito, Norikazu
1
1997
Functional-analytic methods for partial differential equations. Proceedings of a conference and a symposium held in Tokyo, Japan, July 3- 9, 1989. Zbl 0707.00017
Fujita, Hiroshi (ed.); Ikebe, Teruo (ed.); Kuroda, Shige Toshi (ed.)
1
1990
Nonlinear partial differential equations in applied science. Proceedings of the U.S. - Japan Seminar, Tokyo, 1982. Zbl 0515.00015
Fujita, Hiroshi (ed.); Lax, Peter D. (ed.); Strang, Gilbert (ed.)
1
1983
On the finite element approximation for evolution equations of parabolic type. Zbl 0406.65049
Fujita, Hiroshi; Suzuki, Takashi
1
1979
Construction of weak solutions of the Navier-Stokes equations in noncylindrical domain. Zbl 0194.41401
Fujita, Hiroshi; Sauer, N.
1
1969
A coherent analysis of Stokes flows under boundary conditions of friction type. Zbl 1058.76023
Fujita, Hiroshi
42
2002
Regularity of solutions to the Stokes equations under a certain nonlinear boundary condition. Zbl 0995.35048
Saito, Norikazu; Fujita, Hiroshi
21
2002
Remarks on the Stokes flow under slip and leak boundary conditions of friction type. Zbl 1189.76135
Fujita, Hiroshi
12
2002
A remark on the existence of steady Navier-Stokes flows in a certain two-dimensional infinite channel. Zbl 1042.35049
Morimoto, Hiroko; Fujita, Hiroshi
6
2002
Stationary Navier-Stokes flow in 2-dimensional Y-shape channel under general outflow condition. Zbl 0995.35047
Morimoto, Hiroko; Fujita, Hiroshi
4
2002
Stationary Navier-Stokes flow in a 2D infinite channel of \(V\)-shape involving general outflow condition. Zbl 1062.35070
Morimoto, Hiroko; Fujita, Hiroshi
1
2002
Non-stationary Stokes flows under leak boundary conditions of friction type. Zbl 0993.76014
Fujita, Hiroshi
33
2001
Operator theory and numerical methods. Zbl 0976.65098
Fujita, Hiroshi; Saito, Norikazu; Suzuki, Takashi
22
2001
A remark on the existence of steady Navier-Stokes flows in 2D semi-infinite channel involving the general outflow condition. Zbl 0981.35049
Morimoto, H.; Fujita, H.
7
2001
Tosio Kato’s method and principle for evolution equations in mathematical physics. Papers from the international workshop held at Hokkaido University, Sapporo, Japan, June 27–29, 2001. Zbl 1009.35500
Fujita, Hiroshi (ed.); Kuroda, S. T. (ed.); Okamoto, Hisashi (ed.)
2
2001
Remarks on traces of \(H^1\)-functions defined in a domain with corners. Zbl 0981.46032
Saito, Norikazu; Fujita, Hiroshi
5
2000
Variational inequalities for the Stokes equation with boundary conditions of friction type. Zbl 0926.76092
Fujita, H.; Kawarada, H.
22
1998
On stationary solutions to Navier-Stokes equation in symmetric plane domains under general out-flow condition. Zbl 0946.35063
Fujita, Hiroshi
16
1998
Wave motion breaking upon the shore. Zbl 0924.76074
Kawarada, H.; Fujita, H.; Suito, H.
3
1998
A remark on the existence of the Navier-Stokes flow with non-vanishing outflow condition. Zbl 0887.35118
Fujita, H.; Morimoto, H.
11
1997
Stability analysis of Navier-Stokes flows in annuli. Zbl 0881.76023
Fujita, H.; Morimoto, H.; Okamoto, H.
5
1997
An analytical study of optimal speed of convergence of iterations in DDM under certain shape assumptions of domains. Zbl 0911.65118
Fujita, Hiroshi; Saito, Norikazu
1
1997
Analytical and numerical approaches to stationary flow problems with leak and slip boundary conditions. Zbl 0844.76018
Fujita, Hiroshi; Kawarada, Hideo; Sasamoto, Akira
7
1995
Distribution theoretic approach to fictitious domain method for Neumann problems. Zbl 0833.65120
Fujita, H.; Kawahara, H.; Kawarada, H.
4
1995
A mathematical analysis of motions of viscous incompressible fluid under leak or slip boundary conditions. Zbl 0939.76527
Fujita, Hiroshi
67
1994
Evolution problems. Zbl 0875.65084
Fujita, Hiroshi; Suzuki, Takashi
36
1991
Functional-analytic methods for partial differential equations. Proceedings of a conference and a symposium held in Tokyo, Japan, July 3- 9, 1989. Zbl 0707.00017
Fujita, Hiroshi (ed.); Ikebe, Teruo (ed.); Kuroda, Shige Toshi (ed.)
1
1990
On the set of blow-up points and asymptotic behaviours of blow-up solutions to a semilinear parabolic equation. Zbl 0732.35008
Fujita, Hiroshi; Chen, Yungang
8
1988
A remark on the \(L^{\infty}\) bounds of the Ritz operator associated with a finite element approximation. Zbl 0616.65106
Suzuki, Takashi; Fujita, Hiroshi
2
1986
Nonlinear partial differential equations in applied science. Proceedings of the U.S. - Japan Seminar, Tokyo, 1982. Zbl 0515.00015
Fujita, Hiroshi (ed.); Lax, Peter D. (ed.); Strang, Gilbert (ed.)
1
1983
On the finite element approximation for evolution equations of parabolic type. Zbl 0406.65049
Fujita, Hiroshi; Suzuki, Takashi
1
1979
On the semi-discrete finite element approximation for the evolution equation \(u_t+A(t)u=0\) of parabolic type. Zbl 0434.65072
Fujita, Hiroshi
2
1977
On the finite element method for parabolic equations. I: Approximation of homomorphic semi-groups. Zbl 0331.65076
Fujita, H.; Mizutani, A.
23
1976
The penalty method and some nonlinear initial value problems. Zbl 0268.35003
Fujita, Hiroshi
3
1971
On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations. Zbl 0228.35048
Fujita, Hiroshi
48
1970
On existence of weak solutions of the Navier-Stokes equations in regions with moving boundaries. Zbl 0206.39702
Fujita, Hiroshi; Sauer, N.
33
1970
On fractional powers of the Stokes operators. Zbl 0235.35067
Fujita, Hiroshi; Morimoto, Hiroko
30
1970
On the asymptotic stability of solutions of the equation \(v_ t = \Delta v + e^ v\). Zbl 0215.16003
Fujita, Hiroshi
3
1970
On the nonlinear equations \(\Delta u + e^ u = 0\) and \(\partial v/\partial t = \Delta v + e^ v\). Zbl 0216.12101
Fujita, Hiroshi
91
1969
Construction of weak solutions of the Navier-Stokes equations in noncylindrical domain. Zbl 0194.41401
Fujita, Hiroshi; Sauer, N.
1
1969
On the uniqueness and non-uniqueness of solutions of initial value problems for some quasi-linear parabolic equations. Zbl 0157.17603
Fujita, H.; Watanabe, S.
23
1968
On the blowing up of solutions of the Cauchy problem for \(u_ t =\Delta u+u^{1+\alpha}\). Zbl 0163.34002
Fujita, Hiroshi
518
1966
On the Navier-Stokes initial value problem. I. Zbl 0126.42301
Fujita, H.; Kato, Tosio
513
1964
On the nonstationary Navier-Stokes systems. Zbl 0114.05002
Kato, Tosio; Fujita, H.
129
1962
The unique existence of solutions for the initial-value problem of Navier-Stokes equations. Zbl 0122.10102
Fujita, Hiroshi
2
1962
On the existence and regularity of the steady-state solutions of the Navier-Stokes equation. Zbl 0111.38502
Fujita, Hiroshi
69
1961
Estimation of the frequencies of thin elastic plates with free edges. Zbl 0086.38605
Kato, Tosio; Fujita, Hiroshi; Nakata, Yoshimoto; Newman, Morris
3
1958
all top 5

Cited by 1,525 Authors

19 Kozono, Hideo
19 Wong, Patricia J. Y.
17 Zhang, Ping
16 Agarwal, Ravi P.
16 Gallagher, Isabelle
16 Giga, Yoshikazu
15 Samet, Bessem
14 Farwig, Reinhard
14 Jleli, Mohamed
14 Ogawa, Takayoshi
14 Paicu, Marius
13 Chemin, Jean-Yves
13 Zhang, Ting
13 Zhang, Zhifei
12 Liu, Qiao
11 Kirane, Mokhtar
11 Wakasugi, Yuta
11 Weissler, Fred B.
11 Zhang, Qi-Shuhuason
10 Cui, Shangbin
10 Danchin, Raphaël
10 Ikeda, Masahiro
10 Levine, Howard Allen
10 Li, Yuan
10 Nishihara, Kenji
10 Pileckas, Konstantin
10 Punzo, Fabio
10 Saito, Norikazu
10 Suzuki, Takashi
10 Tambue, Antoine
10 Zhao, Jihong
9 Li, Kaitai
9 Shimizu, Senjo
9 Sohr, Hermann
9 Winkler, Michael
9 Yanagida, Eiji
9 Zheng, Sining
8 An, Rong
8 Bandle, Catherine
8 D’Abbicco, Marcello
8 Qiu, Hailong
8 Russo, Remigio
8 Yang, Jinge
7 Biswas, Animikh
7 Boukrouche, Mahdi
7 Ferreira, Lucas Catão de Freitas
7 Fino, Ahmad Z.
7 Jing, Feifei
7 Korobkov, Mikhail V.
7 Mei, Liquan
7 Souplet, Philippe
7 Xu, Jiang
6 Abidi, Hammadi
6 Chen, Qionglei
6 Fang, Daoyuan
6 Galdi, Giovanni Paolo
6 Hayashi, Nakao
6 Herrero, Miguel Ángel
6 Jin, Bangti
6 Liu, Bingchen
6 Miao, Changxing
6 Migórski, Stanisław
6 Mukam, Jean Daniel
6 Naumkin, Pavel Ivanovich
6 Wei, Juncheng
6 Yang, Chunxiao
6 Yin, Jingxue
6 Zhai, Xiaoping
6 Zhou, Zhi
5 Alfaro, Matthieu
5 Aliev, Akbar B.
5 Cazenave, Thierry
5 Charve, Frédéric
5 Chen, Li
5 Chen, Zhimin
5 Deng, Chao
5 Dickstein, Flávio
5 Djoko, Jules K.
5 Ebert, Marcelo Rempel
5 Escobedo Martínez, Miguel
5 Gazzola, Filippo
5 Han, Weimin
5 Iftimie, Dragoş
5 Kaikina, Elena Igorevna
5 Kobayashi, Teppei
5 Li, Jian
5 Li, Yongsheng
5 López-Mimbela, José Alfredo
5 Piskarëv, S. I.
5 Planchon, Fabrice
5 Prüß, Jan Wilhelm
5 Rojas-Medar, Marko Antonio
5 Rusin, Walter M.
5 Shakhmurov, Veli B.
5 Sun, Jinyi
5 Takeda, Hiroshi
5 Yang, Minghua
5 Yuan, Baoquan
5 Zhou, Mingjun
5 Zhou, Yi
...and 1,425 more Authors
all top 5

Cited in 255 Serials

135 Journal of Differential Equations
130 Journal of Mathematical Analysis and Applications
86 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
78 Archive for Rational Mechanics and Analysis
33 Computers & Mathematics with Applications
33 Journal of Computational and Applied Mathematics
30 Journal of Functional Analysis
30 Discrete and Continuous Dynamical Systems
30 Journal of Mathematical Fluid Mechanics
27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
23 ZAMP. Zeitschrift für angewandte Mathematik und Physik
22 Mathematische Annalen
22 Applied Mathematics Letters
21 Proceedings of the American Mathematical Society
20 Mathematische Zeitschrift
20 Journal of Evolution Equations
20 Nonlinear Analysis. Theory, Methods & Applications
19 Communications in Partial Differential Equations
19 Nonlinear Analysis. Real World Applications
18 Transactions of the American Mathematical Society
16 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 Applicable Analysis
14 Applied Mathematics and Computation
14 Boundary Value Problems
12 Mathematical Methods in the Applied Sciences
12 NoDEA. Nonlinear Differential Equations and Applications
11 Communications in Mathematical Physics
11 Mathematics of Computation
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 Numerische Mathematik
11 Acta Applicandae Mathematicae
11 Communications on Pure and Applied Analysis
11 Science China. Mathematics
10 Proceedings of the Japan Academy. Series A
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Journal of Mathematical Physics
9 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 Applied Numerical Mathematics
9 Japan Journal of Industrial and Applied Mathematics
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Abstract and Applied Analysis
8 Communications in Contemporary Mathematics
8 Differential Equations
7 Rocky Mountain Journal of Mathematics
7 Journal of Scientific Computing
7 Journal of Dynamics and Differential Equations
7 Journal of Mathematical Sciences (New York)
7 Acta Mathematica Sinica. English Series
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Quarterly of Applied Mathematics
6 SIAM Journal on Mathematical Analysis
6 Calculus of Variations and Partial Differential Equations
6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
5 Computer Methods in Applied Mechanics and Engineering
5 Israel Journal of Mathematics
5 Advances in Mathematics
5 Tohoku Mathematical Journal. Second Series
5 Tokyo Journal of Mathematics
5 Revista Matemática Iberoamericana
5 Fractional Calculus & Applied Analysis
5 Discrete and Continuous Dynamical Systems. Series B
5 Advances in Difference Equations
4 Acta Mathematica
4 Journal of the Mathematical Society of Japan
4 Journal of Soviet Mathematics
4 Manuscripta Mathematica
4 Monatshefte für Mathematik
4 Numerical Functional Analysis and Optimization
4 Rendiconti del Seminario Matematico della Università di Padova
4 Chinese Annals of Mathematics. Series B
4 Physica D
4 Acta Mathematicae Applicatae Sinica. English Series
4 Numerical Methods for Partial Differential Equations
4 Mathematical and Computer Modelling
4 Stochastic Processes and their Applications
4 Bulletin of the American Mathematical Society. New Series
4 Analysis (München)
4 Advanced Nonlinear Studies
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Communications on Pure and Applied Mathematics
3 Journal d’Analyse Mathématique
3 Nonlinearity
3 Annales de l’Institut Fourier
3 Mathematische Nachrichten
3 SIAM Journal on Numerical Analysis
3 Zeitschrift für Analysis und ihre Anwendungen
3 Journal of Integral Equations and Applications
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Journal on Scientific Computing
3 Topological Methods in Nonlinear Analysis
3 Revista Matemática Complutense
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Journal of Applied Mathematics and Computing
3 Proceedings of the Japan Academy
3 Discrete and Continuous Dynamical Systems. Series S
3 Differential Equations and Applications
3 International Journal of Differential Equations
3 Journal of Function Spaces
2 Bulletin of the Australian Mathematical Society
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
...and 155 more Serials
all top 5

Cited in 42 Fields

1,321 Partial differential equations (35-XX)
605 Fluid mechanics (76-XX)
159 Numerical analysis (65-XX)
65 Operator theory (47-XX)
61 Ordinary differential equations (34-XX)
44 Harmonic analysis on Euclidean spaces (42-XX)
41 Probability theory and stochastic processes (60-XX)
39 Functional analysis (46-XX)
32 Biology and other natural sciences (92-XX)
30 Calculus of variations and optimal control; optimization (49-XX)
24 Mechanics of deformable solids (74-XX)
23 Classical thermodynamics, heat transfer (80-XX)
20 Global analysis, analysis on manifolds (58-XX)
18 Integral equations (45-XX)
18 Geophysics (86-XX)
16 Dynamical systems and ergodic theory (37-XX)
14 Difference and functional equations (39-XX)
11 Real functions (26-XX)
10 Systems theory; control (93-XX)
9 Functions of a complex variable (30-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Mechanics of particles and systems (70-XX)
5 Optics, electromagnetic theory (78-XX)
4 History and biography (01-XX)
3 Algebraic geometry (14-XX)
3 Differential geometry (53-XX)
3 Quantum theory (81-XX)
2 Topological groups, Lie groups (22-XX)
2 Potential theory (31-XX)
2 Astronomy and astrophysics (85-XX)
2 Operations research, mathematical programming (90-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Measure and integration (28-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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