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Uniqueness of entropy solutions of nonlinear elliptic-parabolic-hyperbolic problems in one dimension space.,
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Discipline: Mathématiques
Auteur(s): S. Ouaro
Auteur(s) tagués: OUARO Stanislas
Renseignée par : OUARO Stanislas
Résumé

We consider a class of elliptic-parabolic-hyperbolic degenerate equations of the form b(u)t−a(u,φ(u)x)x=f with homogeneous Dirichlet conditions and initial conditions. In this paper we prove an L1-contraction principle and the uniqueness of entropy solutions under rather general assumptions on the data.

Mots-clés

entropy solution; L1-contraction principle; homogeneous Dirichlet conditions; initial conditions

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