ARTICLE
Sur un problème de type elliptique parabolique non linéaire
- C. R. Acad. Sci. Paris , I (333) : 27-30
Discipline :
Mathématiques
Auteur(s) :
S. Ouaro, H. Touré
Auteur(s) tagués :
TOURE Hamidou
Renseignée par : OUARO Stanislas
Résumé
We study the general equation b(u)t=a(u,φ(u)x)x+f of elliptic-parabolic type. Using the theory of evolution equation governed by an accretive operator, we establish existence and uniqueness of mild solutions to the associate Cauchy problem, under general assumptions on the data. With an additional structural condition of Alt-Luckhauss type, we show that the mild solutions are weak solutions.
Mots-clés
mild solutions; Cauchy problem; structural condition of Alt-Luckhauss type; weak solutions