ARTICLE
Uniqueness of entropy solutions to nonlinear elliptic-parabolic problems.
- Electron. J. Differ. Equ. , 82 (2007) : 1-15
Discipline :
Mathématiques
Auteur(s) :
S. Ouaro, H. Touré
Auteur(s) tagués :
TOURE Hamidou
Renseignée par : OUARO Stanislas
Résumé
We study the Cauchy problem associated with the nonlinear elliptic-parabolic equation
b(u)t−a(u,φ(u)x)x=f.
We prove an L1-contraction principle and hence the uniqueness of entropy solutions, under rather general assumptions on the data.
Mots-clés
Elliptic; parabolic; degenerate; weak solution; entropy solution; L1-contraction principle