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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Auteurs principaux: Helge Holden, Kenneth H. Karlsen, Nils H. Risebro
Format: Artigo
Langue:Inglês
Publié: Texas State University 2003-04-01
Collection:Electronic Journal of Differential Equations
Sujets:
Nonlinear degenerate parabolic equations
weakly coupled systems
entropy solution
uniqueness
existence
finite difference method
Accès en ligne:http://ejde.math.txstate.edu/Volumes/2003/46/abstr.html
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