A boundary value problem for quasilinear hyperbolic systems in the Schauder canonic form
Lamberto Cesari (1974)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Lamberto Cesari (1974)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Andrzej Borzymowski, Marek W. Michalski (1988)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Kunihiko Kajitani, Yasuo Yuzawa (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We discuss the local existence and uniqueness of solutions of certain nonstrictly hyperbolic systems, with Hölder continuous coefficients with respect to time variable. We reduce the nonstrictly hyperbolic systems to the parabolic ones and by use of the and the Banach scale method we construct a semi-group which gives a representation of the solution to the Cauchy problem.
V. Sordoni (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Jan Turo (1997)
Publicacions Matemàtiques
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Existence and uniqueness of almost everywhere solutions of nonlocal problems to functional partial differential systems in diagonal form are investigated. The proof is based on the characteristics and fixed point methods.
E. B. Fabes, N. M. Riviere (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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