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Author ID: kajitani.kunihiko Recent zbMATH articles by "Kajitani, Kunihiko"
Published as: Kajitani, Kunihiko; Kajitani, K.; Kajitani, Kunihito
Documents Indexed: 64 Publications since 1971, including 1 Book
1 Contribution as Editor
Reviewing Activity: 159 Reviews
Co-Authors: 13 Co-Authors with 33 Joint Publications
84 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 230 times in 171 Documents Cited by Year
The hyperbolic Cauchy problem. Zbl 0762.35002
Kajitani, Kunihiko; Nishitani, Tatsuo
31
1991
The Cauchy problem for Schrödinger type equations. Zbl 0856.35024
Kajitani, Kunihiko; Baba, Akio
21
1995
Cauchy problem for nonstrictly hyperbolic systems in Gevrey classes. Zbl 0544.35063
Kajitani, Kunihiko
19
1983
Microhyperbolic operators in Gevrey classes. Zbl 0705.35158
Kajitani, Kunihiko; Wakabayashi, Seiichiro
15
1989
Cauchy problem for non-strictly hyperbolic systems. Zbl 0446.35062
Kajitani, Kunihiko
12
1979
The Cauchy problem for hyperbolic operators of strong type. Zbl 0826.35066
Kajitani, Kunihiko; Wakabayashi, Seiichiro; Nishitani, Tatsuo
10
1994
The Cauchy problem for Schrödinger type equations with variable coefficients. Zbl 0917.35129
Kajitani, Kunihiko
10
1998
The Cauchy problem for hyperbolic systems with Hölder continuous coefficients with respect to the time variable. Zbl 1170.35474
Kajitani, Kunihiko; Yuzawa, Yasuo
9
2006
On global real analytic solutions of the degenerate Kirchhoff equation. Zbl 0819.35099
Kajitani, Kunihiko; Yamaguti, Kaoru
9
1994
Global real analytic solutions of the Cauchy problem for linear partial differential equations. Zbl 0628.35015
Kajitani, Kunihiko
7
1986
The Cauchy problem for nonlinear hyperbolic systems. Zbl 0657.35082
Kajitani, K.
7
1986
Microlocal smoothing effect for Schrödinger equations in Gevrey spaces. Zbl 1053.35032
Kajitani, Kunihiko; Taglialatela, Giovanni
6
2003
Strongly hyperbolic systems with variable coefficients. Zbl 0284.35043
Kajitani, Kunihiko
6
1974
Non-linear Leray-Volevich systems and Gevrey class. Zbl 0495.35026
Kajitani, Kunihiko
5
1981
Fundamental solution of Cauchy problem for hyperbolic systems and Gevrey class. Zbl 0402.35068
Kajitani, Kunihiko
5
1977
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
Propagation of singularities for several classes of pseudodifferential operators. Zbl 0758.35097
Kajitani, Kunihiko; Wakabayashi, Seiichiro
3
1991
Time global solutions to the Cauchy problem for multidimensional Kirchhoff equations. Zbl 1201.35147
Kajitani, Kunihiko
3
2009
Quasilinear hyperbolic operators with the characteristics of variable multiplicity. Zbl 0942.35106
Kajitani, Kunihiko; Yagdjian, Karen
3
1998
Initial-boundary value problems for first order hyperbolic systems. Zbl 0246.35054
Kajitani, Kunihiko
3
1971
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
On extension of solutions of Kirchhoff equations. Zbl 1056.35121
Kajitani, Kunihiko; Satoh, Atsushi
2
2004
Smoothing effect in Gevrey classes for Schrödinger equations. Zbl 0932.35050
Kajitani, Kunihiko
2
1998
Smoothing effect in Gevrey classes for Schrödinger equations. II. Zbl 1200.35074
Kajitani, Kunihiko
2
1999
Microlocal a priori estimates and the Cauchy problem. II. Zbl 0851.35006
Kajitani, Kunihiko; Wakabayashi, Seiichiro
2
1994
First order hyperbolic mixed problems. Zbl 0231.35050
Kajitani, Kunihiko
2
1971
On the E-well posed evolution equations. Zbl 0463.35020
Kajitani, Kunihiko
1
1979
Leray-Volevich’s system and Gevrey class. Zbl 0501.35052
Kajitani, Kunihiko
1
1981
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
The Cauchy problem for a class of hyperbolic operators with double characteristics. Zbl 0872.35068
Kajitani, Kunihiko; Wakabayashi, Seiichiro
1
1996
Nonlinear Cauchy-Kowalewski theorem for pseudo-differential operators. Zbl 0534.35014
Kajitani, Kunihiko
1
1983
The hyperbolic mixed problem in Gevrey classes. Zbl 0706.35081
Kajitani, Kunihiko; Wakabayashi, Seiichiro
1
1989
Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems. Zbl 0940.35128
Kajitani, Kunihiko; Yamaguti, Kaoru
1
1999
Microlocal a priori estimates and the Cauchy problem. I. Zbl 0796.35101
Kajitani, Kunihiko; Wakabayashi, Seiichiro
1
1993
The Cauchy problem for some nonstrictly hyperbolic equations with nonregular coeficients and its applications. Zbl 1052.35108
Colombini, Ferruccio; Kajitani, Kunihiko
1
2003
Smoothing effect in Gevrey classes for Schrödinger equations. Zbl 1060.35032
Kajitani, Kunihiko
1
2003
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
Sur la condition necessaire du problème mixte bien pose pour les systèmes hyperboliques à coefficients variables. Zbl 0283.35054
Kajitani, Kunihiko
1
1974
Analytically smoothing effect for Schrödinger equations. Zbl 1304.35593
Kajitani, Kunihiko
1
1998
Asymptotic behaviors for multidimensional Kirchhoff equations. Zbl 1254.35151
Kajitani, Kunihiko
1
2012
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
3
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
9
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
6
2003
The Cauchy problem for some nonstrictly hyperbolic equations with nonregular coeficients and its applications. Zbl 1052.35108
Colombini, Ferruccio; Kajitani, Kunihiko
1
2003
Smoothing effect in Gevrey classes for Schrödinger equations. Zbl 1060.35032
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
10
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
2
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
21
1995
The Cauchy problem for hyperbolic operators of strong type. Zbl 0826.35066
Kajitani, Kunihiko; Wakabayashi, Seiichiro; Nishitani, Tatsuo
10
1994
On global real analytic solutions of the degenerate Kirchhoff equation. Zbl 0819.35099
Kajitani, Kunihiko; Yamaguti, Kaoru
9
1994
Microlocal a priori estimates and the Cauchy problem. II. Zbl 0851.35006
Kajitani, Kunihiko; Wakabayashi, Seiichiro
2
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
31
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
15
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
Global real analytic solutions of the Cauchy problem for linear partial differential equations. Zbl 0628.35015
Kajitani, Kunihiko
7
1986
The Cauchy problem for nonlinear hyperbolic systems. Zbl 0657.35082
Kajitani, K.
7
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
19
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
5
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
12
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
5
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 104 Authors

17 Ascanelli, Alessia
16 Nishitani, Tatsuo
14 Cicognani, Massimo
12 Kajitani, Kunihiko
10 Ruzhansky, Michael V.
9 Garetto, Claudia
8 Cappiello, Marco
8 Colombini, Ferruccio
8 Reissig, Michael
7 Bernardi, Enrico
7 Spagnolo, Sergio
5 Barbagallo, Annamaria
5 Boiti, Chiara
5 Bove, Antonio
5 D’Ancona, Piero
5 Esposito, Vincenzo
5 Hirosawa, Fumihiko
5 Taglialatela, Giovanni
5 Wakabayashi, Seiichiro
5 Yagdjian, Karen
4 Kiran, N. Uday
4 Matsuyama, Tokio
4 Zanghirati, Luisa
3 Agliardi, Rossella
3 Doi, Shin-ichi
3 Gramchev, Todor V.
3 Ishida, Haruhisa
3 Kinoshita, Tamotu
3 Oliaro, Alessandro
3 Pattar, Rahul Raju
3 Sordoni, Vania
3 Vaillant, Jean
3 Yuzawa, Yasuo
2 Arias Junior, Alexandre
2 Eskin, Gregory
2 Ghazaryan, Hayk G.
2 Gourdin, Daniel
2 Han, Qing
2 Jabin, Pierre-Emmanuel
2 Jäh, Christian P.
2 Lin, Hsinyi
2 Lorenz, Daniel
2 Margaryan, Vachagan N.
2 Martinez, André
2 Nakamura, Shu
2 Ozawa, Tohru
2 Petkov, Vesselin M.
2 Soga, Hideo
2 Tadmor, Eitan
2 Taniguchi, Masaru
2 Yamaguti, Kaoru
2 Yamahara, Hideo
1 Abdeljawad, Ahmed
1 Albanese, Angela Anna
1 Aoki, Takashi
1 Benvenuti, Stefano
1 Bourdaud, Gérard
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 Discacciati, Marco
1 Dreher, Michael
1 Galstian, Anahit
1 Ghazaryan, Haik Gegamovich
1 Herrmann, Torsten
1 Hong, Jiaxing
1 Itoh, Shigeharu
1 Koike, Minoru
1 Lin, Chang-Shou
1 Liu, Yannan
1 Loizou, Costas
1 Manfrin, Renato
1 Métivier, Guy
1 Mikami, Masahiro
1 Mizuhara, Ryuichiro
1 Nicola, Fabio
1 Ōkaji, Takashi
1 Pang, Peter Y. H.
1 Racke, Reinhard
1 Robbiano, Luc
1 Rodino, Luigi
1 Sebih, Mohammed Elamine
1 Sickel, Winfried
1 Smoller, Joel Alan
1 Sunagawa, Hideaki
1 Takeuchi, Taiki
1 Tamura, Mitsuji
1 Tanaka, Tomoyuki
1 Tang, Hongyan
1 Taniguchi, Kazuo
1 T’Joen, Laurent
1 Toft, Joachim
1 Tokmagambetov, Niyaz Esenzholovich
1 Tsugawa, Kotaro
1 Tsuji, Mikio
1 Uryu, Hitoshi
...and 4 more Authors
all top 5

Cited in 53 Serials

19 Journal of Differential Equations
13 Publications of the Research Institute for Mathematical Sciences, Kyoto University
10 Communications in Partial Differential Equations
9 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Journal d’Analyse Mathématique
7 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
7 Journal of Pseudo-Differential Operators and Applications
6 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
5 Bulletin des Sciences Mathématiques
4 Duke Mathematical Journal
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Osaka Journal of Mathematics
4 Transactions of the American Mathematical Society
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Mathematische Annalen
3 Rendiconti del Seminario Matematico della Università di Padova
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 Ricerche di Matematica
2 Journal of Evolution Equations
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Kyoto Journal of Mathematics
2 Eurasian Mathematical Journal
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 Zeitschrift für Analysis und ihre Anwendungen
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 Electronic Journal of Differential Equations (EJDE)
1 Georgian Mathematical Journal
1 Integral Transforms and Special Functions
1 The Journal of Fourier Analysis and Applications
1 Acta Mathematica Sinica. English Series
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Journal of Hyperbolic Differential Equations
1 Boundary Value Problems
1 Proceedings of the Japan Academy
1 Journal of Fixed Point Theory and Applications
1 Analysis & PDE
1 Confluentes Mathematici
1 Evolution Equations and Control Theory
1 Séminaire Laurent Schwartz. EDP et Applications
1 Bollettino dell’Unione Matematica Italiana

Citations by Year