@article{ASNSP_1999_4_28_3_471_0,
author = {Kajitani, Kunihiko and Yamaguti, Kaoru},
title = {Propagation of analyticity of the solutions to the {Cauchy} problem for nonlinear symmetrizable systems},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {471--487},
year = {1999},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 28},
number = {3},
mrnumber = {1736525},
zbl = {0940.35128},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1999_4_28_3_471_0/}
}
TY - JOUR AU - Kajitani, Kunihiko AU - Yamaguti, Kaoru TI - Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1999 SP - 471 EP - 487 VL - 28 IS - 3 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1999_4_28_3_471_0/ LA - en ID - ASNSP_1999_4_28_3_471_0 ER -
%0 Journal Article %A Kajitani, Kunihiko %A Yamaguti, Kaoru %T Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1999 %P 471-487 %V 28 %N 3 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1999_4_28_3_471_0/ %G en %F ASNSP_1999_4_28_3_471_0
Kajitani, Kunihiko; Yamaguti, Kaoru. Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 28 (1999) no. 3, pp. 471-487. https://www.numdam.org/item/ASNSP_1999_4_28_3_471_0/
[1] - , Propagation de l'analyticité des solutions de systèmes hyperboliques non-linéaires, Inv. Math. 75 (1984), 189-203. | Zbl
[2] , On the strictly hyperbolic equations which are Hölder continuous with respect to time, to appear in Riv. Mat. Pura Appl. 22. | Zbl | MR
[3] - , Analytic regularity for solutions of nonlinear weakly hyperbolic equations, Boll. Un. Mat. Ital. (B) (1997), 643-679. | Zbl | MR
[4] - , Quasi-symmetrization of hyperbolic systems and propagation of the analytic regularity, Boll. Un. Mat. Ital. B (8) (1998), 169-185. | Zbl | MR
[5] , Local solution of Cauchy problem for nonlinear hyperbolic systems in Gevrey classes, Hokkaido Math. J. 12 (1983), 434-460. | MR
[6] , The Cauchy problem for uniformly diagonalizable hyperbolic systems in Gevrey classes, In: "Taniguti Symposium on Hyperbolic Equations and Related Topics", edited by S. Mizohata, Kinokuniye, Tokio, 1984, pp. 101-123. | Zbl | MR
[7] , Le problème de Cauchy pour les systèmes hyperboliques linéaires avec un symétrizeur non régulier, In: "Calcul D'opérateur et fronts D'ondes", edited by J. Vaillant, Travaux en cours, 29, Herman, Paris, 1988, pp. 73-97. | Zbl | MR
[8] - , Psuedodifferential operators with non-regular symbols and applications, Funkcial. Ekvac. 21 (1978), 151-192. | Zbl | MR
[9] , Nonlinear hyperbolic equations, Comm. Pure Appl. Math. 6 (1953), 231-258. | Zbl | MR
[10] , Analyticity of solutions of hyperbolic systems with analytic coefficients, Comm. Pure Appl. Math. 14 (1961), 547-559. | Zbl | MR
[11] , Some results of analytic regularity for the semi-linear weakly hyperbolic equations of the second order, Rend. Sem. Mat. Univ. Politec. Torino, Fascicolo speciale (1988), 203-229. | Zbl | MR






