Edit Profile (opens in new tab) Nishitani, Tatsuo Co-Author Distance Author ID: nishitani.tatsuo Published as: Nishitani, Tatsuo; Nishitani, T. Homepage: http://www4.math.sci.osaka-u.ac.jp/~nishitani/ Documents Indexed: 134 Publications since 1977, including 4 Books and 5 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 21 Co-Authors with 52 Joint Publications 229 Co-Co-Authors all top 5 Co-Authors 83 single-authored 14 Colombini, Ferruccio 10 Bove, Antonio 7 Bernardi, Enrico 6 Takayama, Masahiro 3 Kajitani, Kunihiko 3 Vaillant, Jean 2 Komatsu, Gen 2 Petkov, Vesselin M. 2 Rauch, Jeffrey B. 2 Spagnolo, Sergio 2 Wakabayashi, Seiichiro 1 Benvenuti, Stefano 1 Di Flaviano, Mariagrazia 1 Doi, Shin-ichi 1 Métivier, Guy 1 Orrù, Nicola 1 Pernazza, Ludovico 1 Taglialatela, Giovanni 1 Tamura, Mitsuji 1 Ueda, Hideo 1 Yagdjian, Karen 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 all top 5 Fields 129 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 21 Fields 182 Partial differential equations (35-XX) 12 Functional analysis (46-XX) 9 Operator theory (47-XX) 4 Ordinary differential equations (34-XX) 4 Fluid mechanics (76-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of deformable solids (74-XX) 3 Relativity and gravitational theory (83-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year