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ARTICLE

Continuous dependence of solutions to nonlinear elliptic-parabolic-hyperbolic problem in one dimension

  • Int. J. Pure Appl. Math. , 41 (7) : 905-917
Discipline : Mathématiques
Auteur(s) :
Auteur(s) tagués : BONZI Kaka Bernard
Renseignée par : OUARO Stanislas

Résumé

We consider a nonlinear elliptic-parabolic-hyperbolic equation of the form:
b(u)t−a(u,φ(u)x)x=f.
We show the continuous dependence of the “mild solution” of the associated Cauchy problem with respect to the data a, f and v0 without Alt and Luckhaus structure condition.

Mots-clés

Cauchy problem

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