Mixed problem for quasilinear hyperbolic system with coefficients functionally dependent on solution-Reference-Cited by-同舟云学术

Mixed problem for quasilinear hyperbolic system with coefficients functionally dependent on solution

Published:2017-12-20 Issue:3 Volume:25 Page:215-215
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Zdanowicz Małgorzata¹,Peradzyński Zbigniew²

Affiliation:

1. Institute of Mathematics, University of Białystok, K.Ciokowskiego 1M, 15-245 Białystok , Poland

2. Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw , Poland

Abstract

Abstract The mixed problem for quasilinear hyperbolic system with coefficients functionally dependent on the solution is studied. We assume that the coefficients are continuous nonlinear operators in the Banach space C1(ℝ) satisfying some additional assumptions. Under these assumptions we prove the uniqueness and existence of local in time C1 solution, provided that the initial data are also of class C1.

Publisher

Walter de Gruyter GmbH

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