×
Compute Distance To:
Author ID: fujita.hiroshi Recent zbMATH articles by "Fujita, Hiroshi"
Published as: Fujita, Hiroshi; Fujita, H.
Further Spellings: 藤田宏
External Links: MGP · Wikidata
Documents Indexed: 52 Publications since 1958, including 3 Books
6 Contributions as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 23 Co-Authors with 39 Joint Publications
489 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 1,973 times in 1,646 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
577
1966
On the Navier-Stokes initial value problem. I. Zbl 0126.42301
Fujita, H.; Kato, Tosio
570
1964
On the nonstationary Navier-Stokes systems. Zbl 0114.05002
Kato, Tosio; Fujita, H.
137
1962
A mathematical analysis of motions of viscous incompressible fluid under leak or slip boundary conditions. Zbl 0939.76527
Fujita, Hiroshi
87
1994
On the nonlinear equations \(\Delta u + e^ u = 0\) and \(\partial v/\partial t = \Delta v + e^ v\). Zbl 0216.12101
Fujita, Hiroshi
85
1969
On the existence and regularity of the steady-state solutions of the Navier-Stokes equation. Zbl 0111.38502
Fujita, Hiroshi
70
1961
A coherent analysis of Stokes flows under boundary conditions of friction type. Zbl 1058.76023
Fujita, Hiroshi
57
2002
Non-stationary Stokes flows under leak boundary conditions of friction type. Zbl 0993.76014
Fujita, Hiroshi
46
2001
Evolution problems. Zbl 0875.65084
Fujita, Hiroshi; Suzuki, Takashi
36
1991
On existence of weak solutions of the Navier-Stokes equations in regions with moving boundaries. Zbl 0206.39702
Fujita, Hiroshi; Sauer, N.
34
1970
On fractional powers of the Stokes operators. Zbl 0235.35067
Fujita, Hiroshi; Morimoto, Hiroko
32
1970
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.
26
1968
Variational inequalities for the Stokes equation with boundary conditions of friction type. Zbl 0926.76092
Fujita, H.; Kawarada, H.
25
1998
On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations. Zbl 0228.35048
Fujita, Hiroshi
24
1970
On the finite element method for parabolic equations. I: Approximation of homomorphic semi-groups. Zbl 0331.65076
Fujita, H.; Mizutani, A.
24
1976
Regularity of solutions to the Stokes equations under a certain nonlinear boundary condition. Zbl 0995.35048
Saito, Norikazu; Fujita, Hiroshi
17
2002
On stationary solutions to Navier-Stokes equation in symmetric plane domains under general out-flow condition. Zbl 0946.35063
Fujita, Hiroshi
14
1998
Remarks on the Stokes flow under slip and leak boundary conditions of friction type. Zbl 1189.76135
Fujita, Hiroshi
13
2002
Operator theory and numerical methods. Zbl 0976.65098
Fujita, Hiroshi; Saito, Norikazu; Suzuki, Takashi
12
2001
A remark on the existence of the Navier-Stokes flow with non-vanishing outflow condition. Zbl 0887.35118
Fujita, H.; Morimoto, H.
12
1997
Analytical and numerical approaches to stationary flow problems with leak and slip boundary conditions. Zbl 0844.76018
Fujita, Hiroshi; Kawarada, Hideo; Sasamoto, Akira
9
1995
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.
8
2001
A remark on the existence of steady Navier-Stokes flows in a certain two-dimensional infinite channel. Zbl 1042.35049
Morimoto, Hiroko; Fujita, Hiroshi
7
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
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
5
1988
Distribution theoretic approach to fictitious domain method for Neumann problems. Zbl 0833.65120
Fujita, H.; Kawahara, H.; Kawarada, H.
4
1995
Stationary Navier-Stokes flow in 2-dimensional Y-shape channel under general outflow condition. Zbl 0995.35047
Morimoto, Hiroko; Fujita, Hiroshi
4
2002
Estimation of the frequencies of thin elastic plates with free edges. Zbl 0086.38605
Kato, Tosio; Fujita, Hiroshi; Nakata, Yoshimoto; Newman, Morris
4
1958
The penalty method and some nonlinear initial value problems. Zbl 0268.35003
Fujita, Hiroshi
3
1971
Wave motion breaking upon the shore. Zbl 0924.76074
Kawarada, H.; Fujita, H.; Suito, H.
3
1998
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 asymptotic stability of solutions of the equation \(v_ t = \Delta v + e^ v\). Zbl 0215.16003
Fujita, Hiroshi
2
1970
The unique existence of solutions for the initial-value problem of Navier-Stokes equations. Zbl 0122.10102
Fujita, Hiroshi
2
1962
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 stationary Navier-Stokes flows in 2D semi-infinite channel involving the general outflow condition. Zbl 1008.76011
Morimoto, Hiroko; Fujita, Hiroshi
2
2000
On the finite element approximation for evolution equations of parabolic type. Zbl 0406.65049
Fujita, Hiroshi; Suzuki, Takashi
1
1979
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
Construction of weak solutions of the Navier-Stokes equations in noncylindrical domain. Zbl 0194.41401
Fujita, Hiroshi; Sauer, N.
1
1969
Functional analysis. I, II. 3rd ed. Zbl 0658.47001
Fujita, Hiroshi; Kuroda, Shigetoshi
1
1987
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
1
2001
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
1
1990
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
Nonlinear partial differential equations in applied science. Proceedings of the U.S. - Japan Seminar, Tokyo, 1982. Zbl 0515.00015
1
1983
A coherent analysis of Stokes flows under boundary conditions of friction type. Zbl 1058.76023
Fujita, Hiroshi
57
2002
Regularity of solutions to the Stokes equations under a certain nonlinear boundary condition. Zbl 0995.35048
Saito, Norikazu; Fujita, Hiroshi
17
2002
Remarks on the Stokes flow under slip and leak boundary conditions of friction type. Zbl 1189.76135
Fujita, Hiroshi
13
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
7
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
46
2001
Operator theory and numerical methods. Zbl 0976.65098
Fujita, Hiroshi; Saito, Norikazu; Suzuki, Takashi
12
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.
8
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
1
2001
Remarks on traces of \(H^1\)-functions defined in a domain with corners. Zbl 0981.46032
Saito, Norikazu; Fujita, Hiroshi
5
2000
On stationary Navier-Stokes flows in 2D semi-infinite channel involving the general outflow condition. Zbl 1008.76011
Morimoto, Hiroko; Fujita, Hiroshi
2
2000
Variational inequalities for the Stokes equation with boundary conditions of friction type. Zbl 0926.76092
Fujita, H.; Kawarada, H.
25
1998
On stationary solutions to Navier-Stokes equation in symmetric plane domains under general out-flow condition. Zbl 0946.35063
Fujita, Hiroshi
14
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.
12
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
9
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
87
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
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
5
1988
Functional analysis. I, II. 3rd ed. Zbl 0658.47001
Fujita, Hiroshi; Kuroda, Shigetoshi
1
1987
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
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.
24
1976
The penalty method and some nonlinear initial value problems. Zbl 0268.35003
Fujita, Hiroshi
3
1971
On existence of weak solutions of the Navier-Stokes equations in regions with moving boundaries. Zbl 0206.39702
Fujita, Hiroshi; Sauer, N.
34
1970
On fractional powers of the Stokes operators. Zbl 0235.35067
Fujita, Hiroshi; Morimoto, Hiroko
32
1970
On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations. Zbl 0228.35048
Fujita, Hiroshi
24
1970
On the asymptotic stability of solutions of the equation \(v_ t = \Delta v + e^ v\). Zbl 0215.16003
Fujita, Hiroshi
2
1970
On the nonlinear equations \(\Delta u + e^ u = 0\) and \(\partial v/\partial t = \Delta v + e^ v\). Zbl 0216.12101
Fujita, Hiroshi
85
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.
26
1968
On the blowing up of solutions of the Cauchy problem for \(u_ t =\Delta u+u^{1+\alpha}\). Zbl 0163.34002
Fujita, Hiroshi
577
1966
On the Navier-Stokes initial value problem. I. Zbl 0126.42301
Fujita, H.; Kato, Tosio
570
1964
On the nonstationary Navier-Stokes systems. Zbl 0114.05002
Kato, Tosio; Fujita, H.
137
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
70
1961
Estimation of the frequencies of thin elastic plates with free edges. Zbl 0086.38605
Kato, Tosio; Fujita, Hiroshi; Nakata, Yoshimoto; Newman, Morris
4
1958
all top 5

Cited by 1,582 Authors

21 Kozono, Hideo
21 Samet, Bessem
20 Jleli, Mohamed Boussairi
20 Ogawa, Takayoshi
17 Giga, Yoshikazu
17 Zhang, Ping
16 Farwig, Reinhard
16 Gallagher, Isabelle
16 Wong, Patricia J. Y.
14 Paicu, Marius
13 Agarwal, Ravi P.
13 Chemin, Jean-Yves
13 Punzo, Fabio
13 Shimizu, Senjo
13 Wakasugi, Yuta
13 Zhang, Ting
13 Zhang, Zhifei
12 Kirane, Mokhtar
12 Liu, Qiao
11 Ikeda, Masahiro
11 Li, Yuan
11 Migórski, Stanisław
11 Weissler, Fred B.
10 Cui, Shangbin
10 D’Abbicco, Marcello
10 Danchin, Raphaël
10 Nishihara, Kenji
10 Pileckas, Konstantin
10 Suzuki, Takashi
10 Tambue, Antoine
10 Winkler, Michael
10 Zhao, Jihong
9 An, Rong
9 Fino, Ahmad Z.
9 Levine, Howard Allen
9 Li, Kaitai
9 Saito, Norikazu
9 Sohr, Hermann
9 Yanagida, Eiji
8 Boukrouche, Mahdi
8 Chen, Qionglei
8 Dudek, Sylwia
8 Jing, Feifei
8 Korobkov, Mikhail V.
8 Qiu, Hailong
8 Russo, Remigio
8 Zheng, Sining
7 Bandle, Catherine
7 Biswas, Animikh
7 Ebert, Marcelo Rempel
7 Ferreira, Lucas Catão de Freitas
7 Han, Weimin
7 Mei, Liquan
7 Souplet, Philippe
7 Wei, Juncheng
7 Xu, Jiang
7 Yang, Jinge
7 Zaag, Hatem
7 Zhou, Mingjun
6 Abidi, Hammadi
6 Alfaro, Matthieu
6 Djoko, Jules K.
6 Escobedo Martínez, Miguel
6 Fang, Daoyuan
6 Fang, Zhongbo
6 Galdi, Giovanni Paolo
6 Hayashi, Nakao
6 Herrero, Miguel Ángel
6 Iwabuchi, Tsukasa
6 Jin, Bangti
6 Miao, Changxing
6 Mukam, Jean Daniel
6 Naumkin, Pavel Ivanovich
6 Paoli, Laetitia A.
6 Sassi, Taoufik
6 Sobajima, Motohiro
6 Sun, Jinyi
6 Takeda, Hiroshi
6 Wu, Yiting
6 Yang, Chunxiao
6 Yang, Minghua
6 Yin, Jingxue
6 Zhai, Xiaoping
6 Zhang, Qi-Shuhuason
6 Zhou, Zhi
5 Aliev, Akbar B.
5 Benameur, Jamel
5 Cazenave, Thierry
5 Charve, Frédéric
5 Chen, Jiecheng
5 Chen, Zhimin
5 Deng, Chao
5 Dickstein, Flávio
5 Gazzola, Filippo
5 Haslinger, Jaroslav
5 Iftimie, Dragoş
5 Ishige, Kazuhiro
5 Kaikina, Elena Igorevna
5 Kobayashi, Teppei
5 Lemarié-Rieusset, Pierre Gilles
...and 1,482 more Authors
all top 5

Cited in 283 Serials

138 Journal of Differential Equations
125 Journal of Mathematical Analysis and Applications
82 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
79 Archive for Rational Mechanics and Analysis
34 Computers & Mathematics with Applications
34 Journal of Mathematical Fluid Mechanics
33 Discrete and Continuous Dynamical Systems
30 Journal of Functional Analysis
30 Journal of Evolution Equations
28 Journal of Computational and Applied Mathematics
26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
25 ZAMP. Zeitschrift für angewandte Mathematik und Physik
25 Applied Mathematics Letters
24 Mathematische Annalen
22 Applicable Analysis
21 Proceedings of the American Mathematical Society
21 Nonlinear Analysis. Real World Applications
20 Mathematische Zeitschrift
20 Communications in Partial Differential Equations
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
19 Nonlinear Analysis. Theory, Methods & Applications
18 Transactions of the American Mathematical Society
16 Boundary Value Problems
15 NoDEA. Nonlinear Differential Equations and Applications
13 Communications in Mathematical Physics
13 Applied Mathematics and Computation
13 Communications on Pure and Applied Analysis
12 Mathematical Methods in the Applied Sciences
12 Acta Applicandae Mathematicae
12 Science China. Mathematics
11 Mathematics of Computation
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 Numerische Mathematik
10 Journal of Mathematical Physics
10 Proceedings of the Japan Academy. Series A
10 Applied Numerical Mathematics
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 Journal of Scientific Computing
9 Japan Journal of Industrial and Applied Mathematics
9 Acta Mathematica Sinica. English Series
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Journal of Dynamics and Differential Equations
8 Calculus of Variations and Partial Differential Equations
8 Abstract and Applied Analysis
8 Communications in Contemporary Mathematics
8 Differential Equations
7 Rocky Mountain Journal of Mathematics
7 SIAM Journal on Mathematical Analysis
7 Journal of Mathematical Sciences (New York)
7 Discrete and Continuous Dynamical Systems. Series B
6 Advances in Mathematics
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Journal of the Mathematical Society of Japan
6 Quarterly of Applied Mathematics
6 Fractional Calculus & Applied Analysis
6 Advances in Difference Equations
6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
6 Journal of Elliptic and Parabolic Equations
5 Israel Journal of Mathematics
5 Monatshefte für Mathematik
5 Tôhoku Mathematical Journal. Second Series
5 Tokyo Journal of Mathematics
5 Revista Matemática Iberoamericana
5 Asymptotic Analysis
5 Discrete and Continuous Dynamical Systems. Series S
4 Computer Methods in Applied Mechanics and Engineering
4 Acta Mathematica
4 Applied Mathematics and Optimization
4 Journal of Soviet Mathematics
4 Manuscripta Mathematica
4 Numerical Functional Analysis and Optimization
4 Rendiconti del Seminario Matematico della Università di Padova
4 SIAM Journal on Numerical Analysis
4 Chinese Annals of Mathematics. Series B
4 Acta Mathematicae Applicatae Sinica. English Series
4 Numerical Methods for Partial Differential Equations
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Bulletin of the American Mathematical Society. New Series
4 Analysis (München)
4 Advanced Nonlinear Studies
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Differential Equations and Applications
3 Communications on Pure and Applied Mathematics
3 Journal d’Analyse Mathématique
3 Nonlinearity
3 Chaos, Solitons and Fractals
3 Annales de l’Institut Fourier
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Mathematische Nachrichten
3 Zeitschrift für Analysis und ihre Anwendungen
3 Physica D
3 Journal of Integral Equations and Applications
3 Stochastic Processes and their Applications
3 Journal of Nonlinear Science
3 SIAM Journal on Scientific Computing
3 Topological Methods in Nonlinear Analysis
3 Revista Matemática Complutense
3 Mathematical Modelling and Analysis
...and 183 more Serials
all top 5

Cited in 42 Fields

1,446 Partial differential equations (35-XX)
675 Fluid mechanics (76-XX)
164 Numerical analysis (65-XX)
74 Operator theory (47-XX)
58 Ordinary differential equations (34-XX)
51 Harmonic analysis on Euclidean spaces (42-XX)
44 Functional analysis (46-XX)
41 Probability theory and stochastic processes (60-XX)
39 Biology and other natural sciences (92-XX)
37 Calculus of variations and optimal control; optimization (49-XX)
27 Mechanics of deformable solids (74-XX)
23 Global analysis, analysis on manifolds (58-XX)
22 Classical thermodynamics, heat transfer (80-XX)
21 Real functions (26-XX)
21 Integral equations (45-XX)
21 Geophysics (86-XX)
15 Dynamical systems and ergodic theory (37-XX)
14 Difference and functional equations (39-XX)
11 Functions of a complex variable (30-XX)
11 Systems theory; control (93-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Quantum theory (81-XX)
5 Mechanics of particles and systems (70-XX)
5 Optics, electromagnetic theory (78-XX)
4 History and biography (01-XX)
4 Algebraic geometry (14-XX)
4 Differential geometry (53-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Approximations and expansions (41-XX)
2 Relativity and gravitational theory (83-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 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Computer science (68-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.