On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations

We prove existence and uniqueness of entropy solutions for the Cauchy problem of weakly coupled systems of nonlinear degenerate parabolic equations. We prove existence of an entropy solution by demonstrating that the Engquist-Osher finite difference scheme is convergent and that any limit function s...

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Detalhes bibliográficos
Main Authors: Helge Holden, Kenneth H. Karlsen, Nils H. Risebro
Formato: Artigo
Idioma:Inglês
Publicado em: Texas State University 2003-04-01
Colecção:Electronic Journal of Differential Equations
Assuntos:
Nonlinear degenerate parabolic equations
weakly coupled systems
entropy solution
uniqueness
existence
finite difference method
Acesso em linha:http://ejde.math.txstate.edu/Volumes/2003/46/abstr.html
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