Détails Publication
ENTROPY SOLUTION OF NONLINEAR INTEGRO- DIFFERENTIAL EQUATIONS WITH DIFFUSE
MEASURE DATA,
Auteur(s): SAFIMBA SOMA and MOHAMED BANCE
Auteur(s) tagués:
SOMA Safimba
Renseignée par : SOMA Safimba
Résumé
Given a parabolic cylinder QT = Ω × (0, T ), where Ω is a bounded domain of RN , we consider the nonlinear integro-differential parabolic problems with
Dirichlet boundary values of the type ∂t(k∗(b(v)−b(v0)))−div(a(x,Dv)+F(v))=μ in QT,
where b is a non-decreasing C 0 - function, kernel k belongs to the large class of PC kernels and μ is a diffuse measure. We prove the existence of an entropy
solution for this class of nonlinear parabolic equations.
Mots-clés
fractional time derivative, nonlinear Volterra equation, nonlinear parabolic equations, entropy solution, diffuse measures