ARTICLE
On some nonlinear elliptic-parabolic equations of second order
- Int. J. Pure Appl. Math. , 25 (2) : 255-265
Discipline :
Mathématiques
Auteur(s) :
S. Ouaro, H. Touré
Auteur(s) tagués :
TOURE Hamidou
Renseignée par : OUARO Stanislas
Résumé
We study a nonlinear elliptic-parabolic PDE in one-dimensional space with the form: b(u)t−a(u,φ(u)x)x=f. Using the nonlinear semigroups theory in Banach spaces, we establish existence and uniqueness of mild solutions of the associated Cauchy problem under general assumptions on the data. We prove under additional assumptions, that mild solutions are entropy solutions.
Mots-clés
one space dimension; nonlinear semigroups; mild solutions