Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems

Kunihiko Kajitani; Kaoru Yamaguti

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1999)

  • Volume: 28, Issue: 3, page 471-487
  • ISSN: 0391-173X

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Kajitani, Kunihiko, and 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 28.3 (1999): 471-487. <http://eudml.org/doc/84385>.

@article{Kajitani1999,
author = {Kajitani, Kunihiko, Yamaguti, Kaoru},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Gevrey classes},
language = {eng},
number = {3},
pages = {471-487},
publisher = {Scuola normale superiore},
title = {Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems},
url = {http://eudml.org/doc/84385},
volume = {28},
year = {1999},
}

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
PB - Scuola normale superiore
VL - 28
IS - 3
SP - 471
EP - 487
LA - eng
KW - Gevrey classes
UR - http://eudml.org/doc/84385
ER -

References

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  2. [2] M. Cicognani, On the strictly hyperbolic equations which are Hölder continuous with respect to time, to appear in Riv. Mat. Pura Appl.22. Zbl0967.35087MR1695477
  3. [3] M. Cicognani - L. Zanghirati, Analytic regularity for solutions of nonlinear weakly hyperbolic equations, Boll. Un. Mat. Ital. (B) (1997), 643-679. Zbl0908.35081MR1479516
  4. [4] P. D'Ancona - S. Spagnolo, Quasi-symmetrization of hyperbolic systems and propagation of the analytic regularity, Boll. Un. Mat. Ital.B (8) (1998), 169-185. Zbl0916.35063MR1618976
  5. [5] K. Kajitani, Local solution of Cauchy problem for nonlinear hyperbolic systems in Gevrey classes, Hokkaido Math. J.12 (1983), 434-460. MR725589
  6. [6] K. Kajitani, 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. Zbl0669.35065MR925245
  7. [7] K. Kajitani, 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. Zbl0673.35066MR954398
  8. [8] H. Kumanogo - M. Nagase, Psuedodifferential operators with non-regular symbols and applications, Funkcial. Ekvac.21 (1978), 151-192. Zbl0395.35089MR518297
  9. [9] P.D. Lax, Nonlinear hyperbolic equations, Comm. Pure Appl. Math.6 (1953), 231-258. Zbl0050.31705MR56176
  10. [10] S. Mizohata, Analyticity of solutions of hyperbolic systems with analytic coefficients, Comm. Pure Appl. Math.14 (1961), 547-559. Zbl0105.07203MR132919
  11. [11] S. Spagnolo, 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. Zbl0694.35018MR1007377

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