BV solutions for the Cauchy problem of a quasilinear hyperbolic equation with σ-finite Borel measure and nonlinear source-Reference-Cited by-同舟云学术

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BV solutions for the Cauchy problem of a quasilinear hyperbolic equation with σ-finite Borel measure and nonlinear source

Published:2005-11 Issue:2 Volume:311 Page:715-735
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Yuan Hongjun,Tong Lining,Xu Xiaojing

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference10 articles.

1. Source solutions and asymptotic behaviour in conservation law;Liu;J. Differential Equations,1984

2. Singular solutions and asymptotic behaviour for a class of conservation laws with absorption;Guarguaglini;Comm. Partial Differential Equations,1995

3. The regularized method on the degenerate parabolic equations and its application to a conservation law;Yuan;Acta Sci. Natur. Univ. Jilin.,1995

4. Existence and uniqueness of BV solutions for a conservation law with σ-finite Borel measures as initial conditions;Yuan;J. Differential Equations,1998

5. Cauchy's problem for degenerate quasilinear hyperbolic equations with measures as initial values;Yuan;J. Partial Differential Equations,1999

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