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Kajitani, Kunihiko

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Author ID: kajitani.kunihiko Recent zbMATH articles by "Kajitani, Kunihiko"
Published as: Kajitani, K.; Kajitani, Kunihiko; Kajitani, Kunihito
Documents Indexed: 65 Publications since 1971, including 2 Books
Reviewing Activity: 159 Reviews

Publications by Year

Citations contained in zbMATH

45 Publications have been cited 189 times in 140 Documents Cited by Year
The hyperbolic Cauchy problem. Zbl 0762.35002
Kajitani, Kunihiko; Nishitani, Tatsuo
18
1991
The Cauchy problem for Schrödinger type equations. Zbl 0856.35024
Kajitani, Kunihiko; Baba, Akio
16
1995
Cauchy problem for nonstrictly hyperbolic systems in Gevrey classes. Zbl 0544.35063
Kajitani, Kunihiko
15
1983
Microhyperbolic operators in Gevrey classes. Zbl 0705.35158
Kajitani, Kunihiko; Wakabayashi, Seiichiro
13
1989
On global real analytic solutions of the degenerate Kirchhoff equation. Zbl 0819.35099
Kajitani, Kunihiko; Yamaguti, Kaoru
9
1994
Cauchy problem for non-strictly hyperbolic systems. Zbl 0446.35062
Kajitani, Kunihiko
9
1979
The Cauchy problem for hyperbolic operators of strong type. Zbl 0826.35066
Kajitani, Kunihiko; Wakabayashi, Seiichiro; Nishitani, Tatsuo
8
1994
The Cauchy problem for hyperbolic systems with Hölder continuous coefficients with respect to the time variable. Zbl 1170.35474
Kajitani, Kunihiko; Yuzawa, Yasuo
7
2006
The Cauchy problem for nonlinear hyperbolic systems. Zbl 0657.35082
Kajitani, K.
7
1986
The Cauchy problem for Schrödinger type equations with variable coefficients. Zbl 0917.35129
Kajitani, Kunihiko
6
1998
Global real analytic solutions of the Cauchy problem for linear partial differential equations. Zbl 0628.35015
Kajitani, Kunihiko
6
1986
Strongly hyperbolic systems with variable coefficients. Zbl 0284.35043
Kajitani, Kunihiko
6
1974
Microlocal smoothing effect for Schrödinger equations in Gevrey spaces. Zbl 1053.35032
Kajitani, Kunihiko; Taglialatela, Giovanni
5
2003
A necessary condition for the well posed hyperbolic mixed problem with variable coefficients. Zbl 0291.35058
Kajitani, Kunihiko
5
1974
The hyperbolic operators with the characteristics vanishing with the different speeds. Zbl 1056.35007
Kajitani, Kunihiko; Wakabayashi, Seiichiro; Yagdjian, Karen
4
2002
Analytically smoothing effect for Schrödinger type equations with variable coefficients. Zbl 1043.35055
Kajitani, Kunihiko; Wakabayashi, Seiichiro
4
2000
The Cauchy problem for uniformly diagonalizable hyperbolic systems in Gevrey classes. Zbl 0669.35065
Kajitani, Kunihiko
4
1986
Non-linear Leray-Volevich systems and Gevrey class. Zbl 0495.35026
Kajitani, Kunihiko
4
1981
Fundamental solution of Cauchy problem for hyperbolic systems and Gevrey class. Zbl 0402.35068
Kajitani, Kunihiko
4
1977
Quasilinear hyperbolic operators with the characteristics of variable multiplicity. Zbl 0942.35106
Kajitani, Kunihiko; Yagdjian, Karen
3
1998
Smoothing effect in Gevrey classes for Schrödinger equations. Zbl 0932.35050
Kajitani, Kunihiko
3
1998
Propagation of singularities for several classes of pseudodifferential operators. Zbl 0758.35097
Kajitani, Kunihiko; Wakabayashi, Seiichiro
3
1991
Initial-boundary value problems for first order hyperbolic systems. Zbl 0246.35054
Kajitani, Kunihiko
3
1971
On extension of solutions of Kirchhoff equations. Zbl 1056.35121
Kajitani, Kunihiko; Satoh, Atsushi
2
2004
Smoothing effect in Gevrey classes for Schrödinger equations. II. Zbl 1200.35074
Kajitani, Kunihiko
2
1999
Hypoelliptic operators in Gevrey classes. Zbl 0733.35029
Kajitani, K.; Wakabayashi, S.
2
1988
Wellposedness in Gevrey class of the Cauchy problem for hyperbolic operators. Zbl 0653.35051
Kajitani, Kunihiko
2
1987
First order hyperbolic mixed problems. Zbl 0231.35050
Kajitani, Kunihiko
2
1971
Asymptotic behaviors for multidimensional Kirchhoff equations. Zbl 1254.35151
Kajitani, Kunihiko
1
2012
Time global solutions to the Cauchy problem for multidimensional Kirchhoff equations. Zbl 1201.35147
Kajitani, Kunihiko
1
2009
Scattering for one dimensional perturbed Kirchhoff equations. Zbl 1152.35075
Kajitani, Kunihiko
1
2008
On the existence in Gevrey classes of local solutions to the Cauchy problem for nonlinear hyperbolic systems with Hölder continuous coefficients. Zbl 1138.35053
Kajitani, Kunihiko; Yuzawa, Yasuo
1
2006
Smoothing effect in Gevrey classes for Schrödinger equations. Zbl 1060.35032
Kajitani, Kunihiko
1
2003
The Cauchy problem for some nonstrictly hyperbolic equations with nonregular coeficients and its applications. Zbl 1052.35108
Colombini, Ferruccio; Kajitani, Kunihiko
1
2003
Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems. Zbl 0940.35128
Kajitani, Kunihiko; Yamaguti, Kaoru
1
1999
Analytically smoothing effect for Schrödinger equations. Zbl 1304.35593
Kajitani, Kunihiko
1
1998
The Cauchy problem for a class of hyperbolic operators with double characteristics. Zbl 0872.35068
Kajitani, Kunihiko; Wakabayashi, Seiichiro
1
1996
Microlocal a priori estimates and the Cauchy problem. II. Zbl 0851.35006
Kajitani, Kunihiko; Wakabayashi, Seiichiro
1
1994
Microlocal a priori estimates and the Cauchy problem. I. Zbl 0796.35101
Kajitani, Kunihiko; Wakabayashi, Seiichiro
1
1993
The hyperbolic mixed problem in Gevrey classes. Zbl 0706.35081
Kajitani, Kunihiko; Wakabayashi, Seiichiro
1
1989
Le problème de Cauchy pour les systèmes hyperboliques linéaires avec un symétriseur non régulier. (Cauchy problem for linear hyperbolic systems with non-regular symmetrizer). Zbl 0673.35066
Kajitani, Kunihito
1
1988
Nonlinear Cauchy-Kowalewski theorem for pseudo-differential operators. Zbl 0534.35014
Kajitani, Kunihiko
1
1983
Leray-Volevich’s system and Gevrey class. Zbl 0501.35052
Kajitani, Kunihiko
1
1981
On the E-well posed evolution equations. Zbl 0463.35020
Kajitani, Kunihiko
1
1979
Sur la condition necessaire du problème mixte bien pose pour les systèmes hyperboliques à coefficients variables. Zbl 0283.35054
Kajitani, Kunihiko
1
1974
Asymptotic behaviors for multidimensional Kirchhoff equations. Zbl 1254.35151
Kajitani, Kunihiko
1
2012
Time global solutions to the Cauchy problem for multidimensional Kirchhoff equations. Zbl 1201.35147
Kajitani, Kunihiko
1
2009
Scattering for one dimensional perturbed Kirchhoff equations. Zbl 1152.35075
Kajitani, Kunihiko
1
2008
The Cauchy problem for hyperbolic systems with Hölder continuous coefficients with respect to the time variable. Zbl 1170.35474
Kajitani, Kunihiko; Yuzawa, Yasuo
7
2006
On the existence in Gevrey classes of local solutions to the Cauchy problem for nonlinear hyperbolic systems with Hölder continuous coefficients. Zbl 1138.35053
Kajitani, Kunihiko; Yuzawa, Yasuo
1
2006
On extension of solutions of Kirchhoff equations. Zbl 1056.35121
Kajitani, Kunihiko; Satoh, Atsushi
2
2004
Microlocal smoothing effect for Schrödinger equations in Gevrey spaces. Zbl 1053.35032
Kajitani, Kunihiko; Taglialatela, Giovanni
5
2003
Smoothing effect in Gevrey classes for Schrödinger equations. Zbl 1060.35032
Kajitani, Kunihiko
1
2003
The Cauchy problem for some nonstrictly hyperbolic equations with nonregular coeficients and its applications. Zbl 1052.35108
Colombini, Ferruccio; Kajitani, Kunihiko
1
2003
The hyperbolic operators with the characteristics vanishing with the different speeds. Zbl 1056.35007
Kajitani, Kunihiko; Wakabayashi, Seiichiro; Yagdjian, Karen
4
2002
Analytically smoothing effect for Schrödinger type equations with variable coefficients. Zbl 1043.35055
Kajitani, Kunihiko; Wakabayashi, Seiichiro
4
2000
Smoothing effect in Gevrey classes for Schrödinger equations. II. Zbl 1200.35074
Kajitani, Kunihiko
2
1999
Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems. Zbl 0940.35128
Kajitani, Kunihiko; Yamaguti, Kaoru
1
1999
The Cauchy problem for Schrödinger type equations with variable coefficients. Zbl 0917.35129
Kajitani, Kunihiko
6
1998
Quasilinear hyperbolic operators with the characteristics of variable multiplicity. Zbl 0942.35106
Kajitani, Kunihiko; Yagdjian, Karen
3
1998
Smoothing effect in Gevrey classes for Schrödinger equations. Zbl 0932.35050
Kajitani, Kunihiko
3
1998
Analytically smoothing effect for Schrödinger equations. Zbl 1304.35593
Kajitani, Kunihiko
1
1998
The Cauchy problem for a class of hyperbolic operators with double characteristics. Zbl 0872.35068
Kajitani, Kunihiko; Wakabayashi, Seiichiro
1
1996
The Cauchy problem for Schrödinger type equations. Zbl 0856.35024
Kajitani, Kunihiko; Baba, Akio
16
1995
On global real analytic solutions of the degenerate Kirchhoff equation. Zbl 0819.35099
Kajitani, Kunihiko; Yamaguti, Kaoru
9
1994
The Cauchy problem for hyperbolic operators of strong type. Zbl 0826.35066
Kajitani, Kunihiko; Wakabayashi, Seiichiro; Nishitani, Tatsuo
8
1994
Microlocal a priori estimates and the Cauchy problem. II. Zbl 0851.35006
Kajitani, Kunihiko; Wakabayashi, Seiichiro
1
1994
Microlocal a priori estimates and the Cauchy problem. I. Zbl 0796.35101
Kajitani, Kunihiko; Wakabayashi, Seiichiro
1
1993
The hyperbolic Cauchy problem. Zbl 0762.35002
Kajitani, Kunihiko; Nishitani, Tatsuo
18
1991
Propagation of singularities for several classes of pseudodifferential operators. Zbl 0758.35097
Kajitani, Kunihiko; Wakabayashi, Seiichiro
3
1991
Microhyperbolic operators in Gevrey classes. Zbl 0705.35158
Kajitani, Kunihiko; Wakabayashi, Seiichiro
13
1989
The hyperbolic mixed problem in Gevrey classes. Zbl 0706.35081
Kajitani, Kunihiko; Wakabayashi, Seiichiro
1
1989
Hypoelliptic operators in Gevrey classes. Zbl 0733.35029
Kajitani, K.; Wakabayashi, S.
2
1988
Le problème de Cauchy pour les systèmes hyperboliques linéaires avec un symétriseur non régulier. (Cauchy problem for linear hyperbolic systems with non-regular symmetrizer). Zbl 0673.35066
Kajitani, Kunihito
1
1988
Wellposedness in Gevrey class of the Cauchy problem for hyperbolic operators. Zbl 0653.35051
Kajitani, Kunihiko
2
1987
The Cauchy problem for nonlinear hyperbolic systems. Zbl 0657.35082
Kajitani, K.
7
1986
Global real analytic solutions of the Cauchy problem for linear partial differential equations. Zbl 0628.35015
Kajitani, Kunihiko
6
1986
The Cauchy problem for uniformly diagonalizable hyperbolic systems in Gevrey classes. Zbl 0669.35065
Kajitani, Kunihiko
4
1986
Cauchy problem for nonstrictly hyperbolic systems in Gevrey classes. Zbl 0544.35063
Kajitani, Kunihiko
15
1983
Nonlinear Cauchy-Kowalewski theorem for pseudo-differential operators. Zbl 0534.35014
Kajitani, Kunihiko
1
1983
Non-linear Leray-Volevich systems and Gevrey class. Zbl 0495.35026
Kajitani, Kunihiko
4
1981
Leray-Volevich’s system and Gevrey class. Zbl 0501.35052
Kajitani, Kunihiko
1
1981
Cauchy problem for non-strictly hyperbolic systems. Zbl 0446.35062
Kajitani, Kunihiko
9
1979
On the E-well posed evolution equations. Zbl 0463.35020
Kajitani, Kunihiko
1
1979
Fundamental solution of Cauchy problem for hyperbolic systems and Gevrey class. Zbl 0402.35068
Kajitani, Kunihiko
4
1977
Strongly hyperbolic systems with variable coefficients. Zbl 0284.35043
Kajitani, Kunihiko
6
1974
A necessary condition for the well posed hyperbolic mixed problem with variable coefficients. Zbl 0291.35058
Kajitani, Kunihiko
5
1974
Sur la condition necessaire du problème mixte bien pose pour les systèmes hyperboliques à coefficients variables. Zbl 0283.35054
Kajitani, Kunihiko
1
1974
Initial-boundary value problems for first order hyperbolic systems. Zbl 0246.35054
Kajitani, Kunihiko
3
1971
First order hyperbolic mixed problems. Zbl 0231.35050
Kajitani, Kunihiko
2
1971
all top 5

Cited by 85 Authors

14 Ascanelli, Alessia
13 Cicognani, Massimo
13 Nishitani, Tatsuo
12 Kajitani, Kunihiko
8 Ruzhansky, Michael V.
7 Bernardi, Enrico
7 Colombini, Ferruccio
7 Garetto, Claudia
7 Reissig, Michael
7 Spagnolo, Sergio
5 Boiti, Chiara
5 Bove, Antonio
5 Cappiello, Marco
5 D’Ancona, Piero
5 Hirosawa, Fumihiko
5 Wakabayashi, Seiichiro
5 Yagdjian, Karen
4 Matsuyama, Tokio
4 Taglialatela, Giovanni
4 Zanghirati, Luisa
3 Agliardi, Rossella
3 Doi, Shin-ichi
3 Ishida, Haruhisa
3 Kinoshita, Tamotu
3 Oliaro, Alessandro
3 Sordoni, Vania
3 Yuzawa, Yasuo
2 Eskin, Gregory
2 Han, Qing
2 Jäh, Christian P.
2 Lorenz, Daniel
2 Martinez, André
2 Nakamura, Shu
2 Soga, Hideo
2 Taniguchi, Masaru
2 Vaillant, Jean
2 Yamaguti, Kaoru
2 Yamahara, Hideo
1 Abdeljawad, Ahmed
1 Albanese, Angela Anna
1 Aoki, Takashi
1 Benvenuti, Stefano
1 Chen, Hua
1 Chihara, Hiroyuki
1 Cordero, Elena
1 Coulombel, Jean-François
1 Dan, Yuya
1 De Donno, Giuseppe
1 Del Santo, Daniele
1 Dreher, Michael
1 Galstian, Anahit
1 Ghazaryan, Hayk G.
1 Herrmann, Torsten
1 Hong, Jiaxing
1 Itoh, Shigeharu
1 Kiran, N. Uday
1 Koike, Minoru
1 Lin, Chang-Shou
1 Liu, Yannan
1 Manfrin, Renato
1 Margaryan, Vachagan N.
1 Métivier, Guy
1 Mikami, Masahiro
1 Mizuhara, Ryuichiro
1 Nicola, Fabio
1 Ōkaji, Takashi
1 Ozawa, Tohru
1 Pang, Peter Y. H.
1 Petkov, Vesselin
1 Petkov, Vesselin M.
1 Racke, Reinhard
1 Rodino, Luigi
1 Sarason, Leonard
1 Smoller, Joel A.
1 Sunagawa, Hideaki
1 Tamura, Mitsuji
1 Tang, Hongyan
1 Taniguchi, Kazuo
1 T’Joen, Laurent
1 Toft, Joachim
1 Tsuji, Mikio
1 Uryu, Hitoshi
1 Wang, Youde
1 Yamanaka, Takesi
1 Yamazaki, Taeko
all top 5

Cited in 44 Serials

18 Journal of Differential Equations
13 Publications of the Research Institute for Mathematical Sciences, Kyoto University
10 Communications in Partial Differential Equations
7 Journal d’Analyse Mathématique
7 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
6 Journal of Pseudo-Differential Operators and Applications
5 Journal of Mathematical Analysis and Applications
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Proceedings of the Japan Academy. Series A
4 Duke Mathematical Journal
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Osaka Journal of Mathematics
3 Rendiconti del Seminario Matematico della Università di Padova
3 Transactions of the American Mathematical Society
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Bulletin des Sciences Mathématiques
3 Nonlinear Analysis. Theory, Methods & Applications
2 Advances in Mathematics
2 Integral Equations and Operator Theory
2 Journal of the Mathematical Society of Japan
2 Mathematische Annalen
2 Kyoto Journal of Mathematics
1 Archive for Rational Mechanics and Analysis
1 Arkiv för Matematik
1 Journal of Functional Analysis
1 Mathematische Nachrichten
1 Proceedings of the American Mathematical Society
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Annals of Global Analysis and Geometry
1 Revista Matemática Iberoamericana
1 Sugaku Expositions
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Integral Transforms and Special Functions
1 Acta Mathematica Sinica. English Series
1 Journal of Evolution Equations
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Journal of Hyperbolic Differential Equations
1 Proceedings of the Japan Academy
1 Journal of Fixed Point Theory and Applications
1 Confluentes Mathematici
1 Eurasian Mathematical Journal
1 Evolution Equations and Control Theory

Citations by Year