ARTICLE
Uniqueness of entropy solutions of nonlinear elliptic-parabolic-hyperbolic problems in one dimension space.
- Rev. Mat. Complut. , 22 (1) : 7-36
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