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Author ID: nishitani.tatsuo Recent zbMATH articles by "Nishitani, Tatsuo"
Published as: Nishitani, Tatsuo; Nishitani, T.
Homepage: http://www4.math.sci.osaka-u.ac.jp/~nishitani/
all top 5

Serials

14 Journal of Mathematics of Kyoto University
14 Osaka Journal of Mathematics
8 Proceedings of the Japan Academy. Series A
6 Communications in Partial Differential Equations
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Science Reports
4 Kyoto Journal of Mathematics
3 Journal d’Analyse Mathématique
3 Tsukuba Journal of Mathematics
3 RIMS Kokyuroku
3 Journal of Hyperbolic Differential Equations
3 Lecture Notes in Mathematics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Funkcialaj Ekvacioj. Serio Internacia
2 Hokkaido Mathematical Journal
2 Japanese Journal of Mathematics. New Series
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Journal of Pseudo-Differential Operators and Applications
1 Arkiv för Matematik
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 Duke Mathematical Journal
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Sugaku Expositions
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin des Sciences Mathématiques
1 Serdica Mathematical Journal
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 MSJ Memoirs
1 Graduate Series in Analysis
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Bollettino dell’Unione Matematica Italiana

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 383 times in 190 Documents Cited by Year
The Cauchy problem for weakly hyperbolic equations of second order. Zbl 0497.35053
Nishitani, Tatsuo
32
1980
Sur les équations hyperboliques à coefficients Höldériens en t et de classe de Gevrey en x. Zbl 0536.35042
Nishitani, Tatsuo
32
1983
The hyperbolic Cauchy problem. Zbl 0762.35002
Kajitani, Kunihiko; Nishitani, Tatsuo
25
1991
Local energy integrals for effectively hyperbolic operators. I. Zbl 0582.58035
Nishitani, Tatsuo
12
1984
A necessary and sufficient condition for the hyperbolicity of second order equations with two independent variables. Zbl 0552.35049
Nishitani, Tatsuo
10
1984
The Cauchy problem for hyperbolic operators of strong type. Zbl 0826.35066
Kajitani, Kunihiko; Wakabayashi, Seiichiro; Nishitani, Tatsuo
10
1994
On finitely degenerate hyperbolic operators of second order. Zbl 1068.35078
Colombini, Ferruccio; Nishitani, Tatsuo
10
2004
On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness. Zbl 1209.35009
Bernardi, Enrico; Nishitani, Tatsuo
10
2008
Hyperbolicity of two by two systems with two independent variables. Zbl 0913.35079
Nishitani, Tatsuo
9
1998
Two by two strongly hyperbolic systems and Gevrey classes. Zbl 0993.35061
Colombini, Ferruccio; Nishitani, Tatsuo
9
1999
Local energy integrals for effectively hyperbolic operators. II. Zbl 0589.35078
Nishitani, Tatsuo
9
1984
Necessary conditions for strong hyperbolicity of first order systems. Zbl 0791.35076
Nishitani, Tatsuo
9
1993
Energy inequality for non strictly hyperbolic operators in the Gevrey class. Zbl 0552.35051
Nishitani, Tatsuo
8
1983
Regularity of solutions to non-uniformly characteristic boundary value problems for symmetric systems. Zbl 0945.35019
Nishitani, Tatsuo; Takayama, Masahiro
8
2000
On the Cauchy problem for noneffectively hyperbolic operators: the Gevrey 4 well-posedness. Zbl 1276.35112
Bernardi, Enrico; Nishitani, Tatsuo
7
2011
Non effectively hyperbolic operators, Hamilton map and bicharacteristics. Zbl 1069.35037
Nishitani, Tatsuo
7
2004
Hyperbolic operators with symplectic multiple characteristics. Zbl 0708.35050
Nishitani, Tatsuo
7
1989
On the Lax-Mizohata theorem in the analytic and Gevrey classes. Zbl 0402.35093
Nishitani, Tatsuo
7
1978
On the Cauchy problem for \(D_t^2 - D_xa(t,x) D_x\) in the Gevrey class of order \(s > 2\). Zbl 1103.35063
Nishitani, Tatsuo
6
2006
Cauchy problem for effectively hyperbolic operators with triple characteristics. Zbl 1437.35451
Nishitani, Tatsuo; Petkov, Vesselin
6
2019
Cauchy problem for noneffectively hyperbolic operators. Zbl 1282.35006
Nishitani, Tatsuo
6
2013
Local and microlocal Cauchy problem for non-effectively hyperbolic operators. Zbl 1302.35229
Nishitani, Tatsuo
6
2014
On the finite propagation speed of wave front sets for effectively hyperbolic operators. Zbl 0547.35065
Nishitani, Tatsuo
5
1983
On the Cauchy problem for weakly hyperbolic equations. Zbl 0405.35050
Nishitani, Tatsuo
5
1978
Counterexamples to \(C^{\infty}\) well posedness for some hyperbolic operators with triple characteristics. Zbl 1316.35170
Bernardi, Enrico; Nishitani, Tatsuo
5
2015
Microlocal energy estimates for hyperbolic operators with double characteristic. Zbl 0665.35007
Nishitani, Tatsuo
4
1986
Second order weakly hyperbolic operators with coefficients sum of powers of functions. Zbl 1124.35045
Colombini, Ferruccio; Nishitani, Tatsuo
4
2007
Note on some non effectively hyperbolic operators. Zbl 0548.35007
Nishitani, Tatsuo
4
1983
Characteristic initial boundary value problems for symmetric hyperbolic systems. Zbl 0942.35108
Nishitani, Tatsuo; Takayama, Masahiro
4
1998
Remarks on symmetrization of \(2\times{}2\) systems and the characteristic manifolds. Zbl 0764.35058
Bernardi, Enrico; Nishitani, Tatsuo
4
1992
On wave front sets of solutions for effectively hyperbolic operators. Zbl 0548.35006
Nishitani, Tatsuo
3
1983
On localizations of a class of strongly hyperbolic systems. Zbl 0830.35073
Nishitani, Tatsuo
3
1995
On second order weakly hyperbolic equations and the Gevrey classes. Zbl 0969.35098
Colombini, Ferruccio; Nishitani, Tatsuo
3
2000
The Cauchy problem for semilinear second order equations with finite degeneracy. Zbl 1049.35140
Colombibi, Ferruccio; Nishitani, Tatsuo; Taglialatela, Giovanni
3
2003
Continuation of bicharacteristics for effectively hyperbolic operators. Zbl 0702.35008
Komatsu, Gen; Nishitani, Tatsuo
3
1989
On strong hyperbolicity of systems. Zbl 0727.35081
Nishitani, T.
3
1987
Symmetrization of hyperbolic systems with real constant coefficients. Zbl 0866.35063
Nishitani, Tatsuo
3
1994
On the Cauchy problem for non-effectively hyperbolic operators: the Gevrey 3 well-posedness. Zbl 1255.35157
Bernardi, Enrico; Nishitani, Tatsuo
3
2011
Weakly hyperbolic systems by symmetrization. Zbl 1435.35230
Colombini, Ferruccio; Nishitani, Tatsuo; Rauch, Jeffrey
3
2019
Notes on symmetrization by Bézoutian. (In memoria di Enrico Jannelli). Zbl 1451.35087
Nishitani, Tatsuo
3
2020
Hyperbolic systems with analytic coefficients. Well-posedness of the Cauchy problem. Zbl 1295.35004
Nishitani, Tatsuo
3
2014
On Gevrey well-posedness of the Cauchy problem for some noneffectively hyperbolic operators. Zbl 1203.35159
Nishitani, Tatsuo
3
2009
Diagonal symmetrizers for hyperbolic operators with triple characteristics. Zbl 1495.35115
Nishitani, Tatsuo
3
2022
Strongly hyperbolic systems of maximal rank. Zbl 0909.35086
Nishitani, Tatsuo
2
1997
Symmetrization of hyperbolic systems with non-degenerate characteristics. Zbl 0844.35063
Nishitani, Tatsuo
2
1995
A note on zero free regions of the Stokes multipliers for second order ordinary differential equations with cubic polynomial coefficients. Zbl 1236.34110
Nishitani, Tatsuo
2
2011
A note on reduced forms of effectively hyperbolic operators and energy integrals. Zbl 0564.35068
Nishitani, Tatsuo
2
1984
Weakly hyperbolic equations of second order and ultradifferentiable functions. (Équations faiblement hyperboliques du deuxième ordre et classes de fonctions ultradifférentiables.) Zbl 0973.35123
Colombini, Ferruccio; Nishitani, Tatsuo
2
2001
Smoothly symmetrizable systems and the reduced dimensions. Zbl 0999.35055
Nishitani, Tatsuo; Vaillant, Jean
2
2001
An extension of Glaeser inequality and its applications. Zbl 1065.35203
Nishitani, Tatsuo; Spagnolo, Sergio
2
2004
Effectively hyperbolic Cauchy problem. Zbl 1117.35040
Nishitani, Tatsuo
2
2004
Une condition nécessaire pour les systèmes hyperboliques. (A necessary condition for hyperbolic systems). Zbl 0711.35077
Nishitani, Tatsuo
2
1989
Propagation of singularities for hyperbolic operators with transverse propagation cone. Zbl 0716.35042
Nishitani, Tatsuo
2
1990
Note on Ivrii-Petkov-Hörmander condition of hyperbolicity. Zbl 0756.35044
Nishitani, Tatsuo
2
1990
Regularity of solutions to characteristic boundary value problem for symmetric systems. Zbl 0898.35022
Nishitani, Tatsuo; Takayama, Masahiro
2
1997
On the \(\mathcal S\)-well posedness for the Goursat problem with constant coefficients. Zbl 0437.35014
Nishitani, Tatsuo
2
1980
Cauchy problem for differential operators with double characteristics. Non-effectively hyperbolic characteristics. Zbl 1400.35001
Nishitani, Tatsuo
2
2017
On the Gevrey strong hyperbolicity. Zbl 1383.35118
Nishitani, Tatsuo
2
2017
A simple proof of the existence of tangent bicharacteristics for noneffectively hyperbolic operators. Zbl 1320.35183
Nishitani, Tatsuo
2
2015
The Cauchy problem for operators with triple effectively hyperbolic characteristics: Ivrii’s conjecture. Zbl 1518.35478
Nishitani, Tatsuo
2
2023
Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane. Zbl 1443.35094
Nishitani, Tatsuo; Petkov, Vesselin
2
2020
A class of Fourier integral operators with complex phase related to the Gevrey classes. Zbl 1204.35183
Nishitani, Tatsuo; Tamura, Mitsuji
2
2010
Note on lower bounds of energy growth for solutions to wave equations. Zbl 1273.35069
Doi, Shin-Ichi; Nishitani, Tatsuo; Ueda, Hideo
2
2012
Système involutif d’opérateurs effectivement hyperboliques. (Involutive system of effectively hyperbolic operators). Zbl 0646.35055
Nishitani, Tatsuo
1
1987
Systèmes effectivement hyperboliques. (Effectively hyperbolic systems). Zbl 0664.35056
Nishitani, Tatsuo
1
1988
Smoothly symmetrizable complex systems and the real reduced dimension. Zbl 1120.35063
Nishitani, Tatsuo; Vaillant, Jean
1
2006
Sur les opérateurs fortement hyperboliques qui ne dependent que du temps. Zbl 0507.35053
Nishitani, Tatsuo
1
1982
Two by two systems strongly hyperbolic in \(C^\infty\) and in the Gevrey classes. (Systèmes 2 fois 2 fortement hyperboliques dans \(C^\infty\) et dans les classes de Gevrey.) Zbl 0956.35076
Colombini, Ferruccio; Nishitani, Tatsuo
1
2000
Well-posedness of the Cauchy problem for a class of hyperbolic operators with a stratified multiple variety: Necessary conditions. Zbl 0909.35097
Bernardi, Enrico; Bove, Antonio; Nishitani, Tatsuo
1
1997
A characteristic initial boundary value problem for a symmetric positive system. Zbl 0855.35088
Nishitani, Tatsuo; Takayama, Masahiro
1
1996
A note on the local solvability of the Cauchy problem. Zbl 0558.35011
Nishitani, Tatsuo
1
1984
Note on a paper of N. Iwasaki. Zbl 0939.35111
Nishitani, Tatsuo
1
1998
Necessary conditions for hyperbolic systems. Zbl 1029.35163
Bove, Antonio; Nishitani, Tatsuo
1
2002
Hyperbolicity for systems. Zbl 1061.35046
Nishitani, Tatsuo
1
2003
Necessary conditions for the well posedness of the Cauchy problem for hyperbolic systems. Zbl 1052.35114
Bove, Antonio; Nishitani, Tatsuo
1
2003
Necessary conditions for hyperbolic systems. II. Zbl 1063.35107
Bove, Antonio; Nishitani, Tatsuo
1
2003
On the Cauchy problem for effectively hyperbolic systems. Zbl 0587.35061
Nishitani, Tatsuo
1
1985
On the Cauchy problem for a weakly hyperbolic operator: an intermediate case between effective hyperbolicity and Levi condition. Zbl 1068.35059
Colombini, Ferruccio; di Flaviano, Mariagrazia; Nishitani, Tatsuo
1
2003
Une classe d’opérateurs hyperboliques à caractéristiques multiples. (A class of hyperbolic operators with multiple characteristics). Zbl 0724.35117
Nishitani, T.
1
1988
Some remarks on the Cauchy problem for weakly hyperbolic equations. Zbl 0373.35042
Nishitani, Tatsuo
1
1977
Hyperbolicity of localizations. Zbl 0802.35022
Nishitani, Tatsuo
1
1993
Continuation of bicharacteristics for effectively hyperbolic operators. Zbl 0796.35096
Komatsu, Gen; Nishitani, Tatsuo
1
1992
On the Cauchy problem for \(D_t^{2}-D_xa(t, x)^n D_x\). Zbl 1138.35049
Nishitani, Tatsuo
1
2006
Parametric resonance in wave maps. Zbl 1310.35159
Nishitani, Tatsuo; Yagdjian, Karen
1
2014
On the Cauchy problem for hyperbolic operators with double characteristics, a transition case. Zbl 1320.35182
Nishitani, Tatsuo
1
2014
Transversally strictly hyperbolic systems. Zbl 1454.35233
Nishitani, Tatsuo
1
2020
Note on strongly hyperbolic systems with involutive characteristics. Zbl 1415.35180
Métivier, Guy; Nishitani, Tatsuo
1
2018
The Cauchy problem for operators with triple effectively hyperbolic characteristics: Ivrii’s conjecture. Zbl 1518.35478
Nishitani, Tatsuo
2
2023
Diagonal symmetrizers for hyperbolic operators with triple characteristics. Zbl 1495.35115
Nishitani, Tatsuo
3
2022
Notes on symmetrization by Bézoutian. (In memoria di Enrico Jannelli). Zbl 1451.35087
Nishitani, Tatsuo
3
2020
Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane. Zbl 1443.35094
Nishitani, Tatsuo; Petkov, Vesselin
2
2020
Transversally strictly hyperbolic systems. Zbl 1454.35233
Nishitani, Tatsuo
1
2020
Cauchy problem for effectively hyperbolic operators with triple characteristics. Zbl 1437.35451
Nishitani, Tatsuo; Petkov, Vesselin
6
2019
Weakly hyperbolic systems by symmetrization. Zbl 1435.35230
Colombini, Ferruccio; Nishitani, Tatsuo; Rauch, Jeffrey
3
2019
Note on strongly hyperbolic systems with involutive characteristics. Zbl 1415.35180
Métivier, Guy; Nishitani, Tatsuo
1
2018
Cauchy problem for differential operators with double characteristics. Non-effectively hyperbolic characteristics. Zbl 1400.35001
Nishitani, Tatsuo
2
2017
On the Gevrey strong hyperbolicity. Zbl 1383.35118
Nishitani, Tatsuo
2
2017
Counterexamples to \(C^{\infty}\) well posedness for some hyperbolic operators with triple characteristics. Zbl 1316.35170
Bernardi, Enrico; Nishitani, Tatsuo
5
2015
A simple proof of the existence of tangent bicharacteristics for noneffectively hyperbolic operators. Zbl 1320.35183
Nishitani, Tatsuo
2
2015
Local and microlocal Cauchy problem for non-effectively hyperbolic operators. Zbl 1302.35229
Nishitani, Tatsuo
6
2014
Hyperbolic systems with analytic coefficients. Well-posedness of the Cauchy problem. Zbl 1295.35004
Nishitani, Tatsuo
3
2014
Parametric resonance in wave maps. Zbl 1310.35159
Nishitani, Tatsuo; Yagdjian, Karen
1
2014
On the Cauchy problem for hyperbolic operators with double characteristics, a transition case. Zbl 1320.35182
Nishitani, Tatsuo
1
2014
Cauchy problem for noneffectively hyperbolic operators. Zbl 1282.35006
Nishitani, Tatsuo
6
2013
Note on lower bounds of energy growth for solutions to wave equations. Zbl 1273.35069
Doi, Shin-Ichi; Nishitani, Tatsuo; Ueda, Hideo
2
2012
On the Cauchy problem for noneffectively hyperbolic operators: the Gevrey 4 well-posedness. Zbl 1276.35112
Bernardi, Enrico; Nishitani, Tatsuo
7
2011
On the Cauchy problem for non-effectively hyperbolic operators: the Gevrey 3 well-posedness. Zbl 1255.35157
Bernardi, Enrico; Nishitani, Tatsuo
3
2011
A note on zero free regions of the Stokes multipliers for second order ordinary differential equations with cubic polynomial coefficients. Zbl 1236.34110
Nishitani, Tatsuo
2
2011
A class of Fourier integral operators with complex phase related to the Gevrey classes. Zbl 1204.35183
Nishitani, Tatsuo; Tamura, Mitsuji
2
2010
On Gevrey well-posedness of the Cauchy problem for some noneffectively hyperbolic operators. Zbl 1203.35159
Nishitani, Tatsuo
3
2009
On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness. Zbl 1209.35009
Bernardi, Enrico; Nishitani, Tatsuo
10
2008
Second order weakly hyperbolic operators with coefficients sum of powers of functions. Zbl 1124.35045
Colombini, Ferruccio; Nishitani, Tatsuo
4
2007
On the Cauchy problem for \(D_t^2 - D_xa(t,x) D_x\) in the Gevrey class of order \(s > 2\). Zbl 1103.35063
Nishitani, Tatsuo
6
2006
Smoothly symmetrizable complex systems and the real reduced dimension. Zbl 1120.35063
Nishitani, Tatsuo; Vaillant, Jean
1
2006
On the Cauchy problem for \(D_t^{2}-D_xa(t, x)^n D_x\). Zbl 1138.35049
Nishitani, Tatsuo
1
2006
On finitely degenerate hyperbolic operators of second order. Zbl 1068.35078
Colombini, Ferruccio; Nishitani, Tatsuo
10
2004
Non effectively hyperbolic operators, Hamilton map and bicharacteristics. Zbl 1069.35037
Nishitani, Tatsuo
7
2004
An extension of Glaeser inequality and its applications. Zbl 1065.35203
Nishitani, Tatsuo; Spagnolo, Sergio
2
2004
Effectively hyperbolic Cauchy problem. Zbl 1117.35040
Nishitani, Tatsuo
2
2004
The Cauchy problem for semilinear second order equations with finite degeneracy. Zbl 1049.35140
Colombibi, Ferruccio; Nishitani, Tatsuo; Taglialatela, Giovanni
3
2003
Hyperbolicity for systems. Zbl 1061.35046
Nishitani, Tatsuo
1
2003
Necessary conditions for the well posedness of the Cauchy problem for hyperbolic systems. Zbl 1052.35114
Bove, Antonio; Nishitani, Tatsuo
1
2003
Necessary conditions for hyperbolic systems. II. Zbl 1063.35107
Bove, Antonio; Nishitani, Tatsuo
1
2003
On the Cauchy problem for a weakly hyperbolic operator: an intermediate case between effective hyperbolicity and Levi condition. Zbl 1068.35059
Colombini, Ferruccio; di Flaviano, Mariagrazia; Nishitani, Tatsuo
1
2003
Necessary conditions for hyperbolic systems. Zbl 1029.35163
Bove, Antonio; Nishitani, Tatsuo
1
2002
Weakly hyperbolic equations of second order and ultradifferentiable functions. (Équations faiblement hyperboliques du deuxième ordre et classes de fonctions ultradifférentiables.) Zbl 0973.35123
Colombini, Ferruccio; Nishitani, Tatsuo
2
2001
Smoothly symmetrizable systems and the reduced dimensions. Zbl 0999.35055
Nishitani, Tatsuo; Vaillant, Jean
2
2001
Regularity of solutions to non-uniformly characteristic boundary value problems for symmetric systems. Zbl 0945.35019
Nishitani, Tatsuo; Takayama, Masahiro
8
2000
On second order weakly hyperbolic equations and the Gevrey classes. Zbl 0969.35098
Colombini, Ferruccio; Nishitani, Tatsuo
3
2000
Two by two systems strongly hyperbolic in \(C^\infty\) and in the Gevrey classes. (Systèmes 2 fois 2 fortement hyperboliques dans \(C^\infty\) et dans les classes de Gevrey.) Zbl 0956.35076
Colombini, Ferruccio; Nishitani, Tatsuo
1
2000
Two by two strongly hyperbolic systems and Gevrey classes. Zbl 0993.35061
Colombini, Ferruccio; Nishitani, Tatsuo
9
1999
Hyperbolicity of two by two systems with two independent variables. Zbl 0913.35079
Nishitani, Tatsuo
9
1998
Characteristic initial boundary value problems for symmetric hyperbolic systems. Zbl 0942.35108
Nishitani, Tatsuo; Takayama, Masahiro
4
1998
Note on a paper of N. Iwasaki. Zbl 0939.35111
Nishitani, Tatsuo
1
1998
Strongly hyperbolic systems of maximal rank. Zbl 0909.35086
Nishitani, Tatsuo
2
1997
Regularity of solutions to characteristic boundary value problem for symmetric systems. Zbl 0898.35022
Nishitani, Tatsuo; Takayama, Masahiro
2
1997
Well-posedness of the Cauchy problem for a class of hyperbolic operators with a stratified multiple variety: Necessary conditions. Zbl 0909.35097
Bernardi, Enrico; Bove, Antonio; Nishitani, Tatsuo
1
1997
A characteristic initial boundary value problem for a symmetric positive system. Zbl 0855.35088
Nishitani, Tatsuo; Takayama, Masahiro
1
1996
On localizations of a class of strongly hyperbolic systems. Zbl 0830.35073
Nishitani, Tatsuo
3
1995
Symmetrization of hyperbolic systems with non-degenerate characteristics. Zbl 0844.35063
Nishitani, Tatsuo
2
1995
The Cauchy problem for hyperbolic operators of strong type. Zbl 0826.35066
Kajitani, Kunihiko; Wakabayashi, Seiichiro; Nishitani, Tatsuo
10
1994
Symmetrization of hyperbolic systems with real constant coefficients. Zbl 0866.35063
Nishitani, Tatsuo
3
1994
Necessary conditions for strong hyperbolicity of first order systems. Zbl 0791.35076
Nishitani, Tatsuo
9
1993
Hyperbolicity of localizations. Zbl 0802.35022
Nishitani, Tatsuo
1
1993
Remarks on symmetrization of \(2\times{}2\) systems and the characteristic manifolds. Zbl 0764.35058
Bernardi, Enrico; Nishitani, Tatsuo
4
1992
Continuation of bicharacteristics for effectively hyperbolic operators. Zbl 0796.35096
Komatsu, Gen; Nishitani, Tatsuo
1
1992
The hyperbolic Cauchy problem. Zbl 0762.35002
Kajitani, Kunihiko; Nishitani, Tatsuo
25
1991
Propagation of singularities for hyperbolic operators with transverse propagation cone. Zbl 0716.35042
Nishitani, Tatsuo
2
1990
Note on Ivrii-Petkov-Hörmander condition of hyperbolicity. Zbl 0756.35044
Nishitani, Tatsuo
2
1990
Hyperbolic operators with symplectic multiple characteristics. Zbl 0708.35050
Nishitani, Tatsuo
7
1989
Continuation of bicharacteristics for effectively hyperbolic operators. Zbl 0702.35008
Komatsu, Gen; Nishitani, Tatsuo
3
1989
Une condition nécessaire pour les systèmes hyperboliques. (A necessary condition for hyperbolic systems). Zbl 0711.35077
Nishitani, Tatsuo
2
1989
Systèmes effectivement hyperboliques. (Effectively hyperbolic systems). Zbl 0664.35056
Nishitani, Tatsuo
1
1988
Une classe d’opérateurs hyperboliques à caractéristiques multiples. (A class of hyperbolic operators with multiple characteristics). Zbl 0724.35117
Nishitani, T.
1
1988
On strong hyperbolicity of systems. Zbl 0727.35081
Nishitani, T.
3
1987
Système involutif d’opérateurs effectivement hyperboliques. (Involutive system of effectively hyperbolic operators). Zbl 0646.35055
Nishitani, Tatsuo
1
1987
Microlocal energy estimates for hyperbolic operators with double characteristic. Zbl 0665.35007
Nishitani, Tatsuo
4
1986
On the Cauchy problem for effectively hyperbolic systems. Zbl 0587.35061
Nishitani, Tatsuo
1
1985
Local energy integrals for effectively hyperbolic operators. I. Zbl 0582.58035
Nishitani, Tatsuo
12
1984
A necessary and sufficient condition for the hyperbolicity of second order equations with two independent variables. Zbl 0552.35049
Nishitani, Tatsuo
10
1984
Local energy integrals for effectively hyperbolic operators. II. Zbl 0589.35078
Nishitani, Tatsuo
9
1984
A note on reduced forms of effectively hyperbolic operators and energy integrals. Zbl 0564.35068
Nishitani, Tatsuo
2
1984
A note on the local solvability of the Cauchy problem. Zbl 0558.35011
Nishitani, Tatsuo
1
1984
Sur les équations hyperboliques à coefficients Höldériens en t et de classe de Gevrey en x. Zbl 0536.35042
Nishitani, Tatsuo
32
1983
Energy inequality for non strictly hyperbolic operators in the Gevrey class. Zbl 0552.35051
Nishitani, Tatsuo
8
1983
On the finite propagation speed of wave front sets for effectively hyperbolic operators. Zbl 0547.35065
Nishitani, Tatsuo
5
1983
Note on some non effectively hyperbolic operators. Zbl 0548.35007
Nishitani, Tatsuo
4
1983
On wave front sets of solutions for effectively hyperbolic operators. Zbl 0548.35006
Nishitani, Tatsuo
3
1983
Sur les opérateurs fortement hyperboliques qui ne dependent que du temps. Zbl 0507.35053
Nishitani, Tatsuo
1
1982
The Cauchy problem for weakly hyperbolic equations of second order. Zbl 0497.35053
Nishitani, Tatsuo
32
1980
On the \(\mathcal S\)-well posedness for the Goursat problem with constant coefficients. Zbl 0437.35014
Nishitani, Tatsuo
2
1980
On the Lax-Mizohata theorem in the analytic and Gevrey classes. Zbl 0402.35093
Nishitani, Tatsuo
7
1978
On the Cauchy problem for weakly hyperbolic equations. Zbl 0405.35050
Nishitani, Tatsuo
5
1978
Some remarks on the Cauchy problem for weakly hyperbolic equations. Zbl 0373.35042
Nishitani, Tatsuo
1
1977
all top 5

Cited by 113 Authors

40 Nishitani, Tatsuo
17 Colombini, Ferruccio
15 Bernardi, Enrico
13 Ascanelli, Alessia
13 Spagnolo, Sergio
12 Kinoshita, Tamotu
11 D’Ancona, Piero
10 Bove, Antonio
10 Taglialatela, Giovanni
9 Cicognani, Massimo
8 Ruzhansky, Michael V.
7 Barbagallo, Annamaria
7 Cappiello, Marco
7 Esposito, Vincenzo
6 Garetto, Claudia
5 Manfrin, Renato
5 Morando, Alessandro
5 Reissig, Michael
5 Secchi, Paolo
5 Vaillant, Jean
4 Ishida, Haruhisa
4 Kajitani, Kunihiko
4 Orrù, Nicola
4 Petkov, Vesselin M.
4 Trebeschi, Paola
4 Yagdjian, Karen
3 D’Abbicco, Marcello
3 Del Santo, Daniele
3 Galstian, Anahit
3 Han, Qing
3 Tervo, Jouko
3 Wakabayashi, Seiichiro
2 Arias Junior, Alexandre
2 Frank, Martin
2 Gourdin, Daniel
2 Gramchev, Todor V.
2 Herty, Michael Matthias
2 Jannelli, Enrico
2 Kiran, N. Uday
2 Kokkonen, Petri
2 Komatsu, Gen
2 Lanconelli, Alberto
2 Lorenz, Daniel
2 Mandai, Takeshi
2 Parenti, Cesare
2 Parmeggiani, Alberto
2 Pattar, Rahul Raju
2 Yan, Weiping
2 Yuzawa, Yasuo
1 Abdeljawad, Ahmed
1 Agliardi, Rossella
1 Aliev, Akbar B.
1 Benvenuti, Stefano
1 Boiti, Chiara
1 Bombelli, Luca
1 Busuioc, Adriana Valentina
1 Catania, Davide
1 Dasgupta, Aparajita
1 Delquié, Hélène
1 Fanelli, Francesco
1 Fedchenko, Dmitriĭ P.
1 Fukuda, Naohiro
1 Hirosawa, Fumihiko
1 Hong, Jiaxing
1 Hu, Wenming
1 Iftimie, Dragoş
1 Itoh, Shigeharu
1 Jäh, Christian P.
1 Kryvko, Andriy
1 Kucherenko, Valeri V.
1 Kumano-go, Hitoshi
1 Lerner, Nicolas
1 Lin, Chang-Shou
1 Liu, Yannan
1 Lopes Filho, Milton da Costa
1 Luna-Rivera, Nathalie M.
1 Mechab, Mustapha
1 Mencherini, Lorenzo
1 Métivier, Guy
1 Mikami, Masahiro
1 Mizuhara, Ryuichiro
1 Mohameden, Ahmedou Yahya Ould
1 Morisse, Baptiste
1 Nakamura, Gen
1 Nussenzveig Lopes, Helena Judith
1 Ould Moustapha, Mohamed Vall
1 Pernazza, Ludovico
1 Racke, Reinhard
1 Rauch, Jeffrey B.
1 Sartabanov, Zh. A. Zhaishylyk Almaganbetovich
1 Shibata, Yoshihiro
1 Shukurova, Gulnara D.
1 Speck, Jared
1 Sueur, Franck
1 Sultanaev, Yaudat Talgatovich
1 Tahvildar-Zadeh, A. Shadi
1 Tajiri, Masaki
1 Takayama, Masahiro
1 Tamura, Mitsuji
1 Taniguchi, Kazuo
...and 13 more Authors
all top 5

Cited in 59 Serials

16 Journal of Differential Equations
13 Proceedings of the Japan Academy. Series A
10 Communications in Partial Differential Equations
10 Journal of Hyperbolic Differential Equations
9 Publications of the Research Institute for Mathematical Sciences, Kyoto University
8 Osaka Journal of Mathematics
8 Bulletin des Sciences Mathématiques
7 Journal d’Analyse Mathématique
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Journal of Pseudo-Differential Operators and Applications
5 Mathematische Annalen
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
4 Journal of Mathematical Analysis and Applications
4 Arkiv för Matematik
4 Rendiconti del Seminario Matematico della Università di Padova
4 Kyoto Journal of Mathematics
3 Ricerche di Matematica
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Nonlinear Analysis. Theory, Methods & Applications
2 Journal of Mathematical Physics
2 Duke Mathematical Journal
2 Integral Equations and Operator Theory
2 The Journal of Geometric Analysis
2 The Journal of Fourier Analysis and Applications
2 Communications on Pure and Applied Analysis
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Archive for Rational Mechanics and Analysis
1 Mathematical Notes
1 Nonlinearity
1 Advances in Mathematics
1 Indiana University Mathematics Journal
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 Sugaku Expositions
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Linear Algebra and its Applications
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 NoDEA. Nonlinear Differential Equations and Applications
1 Abstract and Applied Analysis
1 Journal of Evolution Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Boundary Value Problems
1 Journal of Fixed Point Theory and Applications
1 Analysis & PDE
1 International Journal of Differential Equations
1 Azerbaijan Journal of Mathematics
1 Journal of Siberian Federal University. Mathematics & Physics
1 Bollettino dell’Unione Matematica Italiana
1 Journal of Computational and Theoretical Transport

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