Méthode de Galerkin-éléments finis mixtes pour une équation parabolique p-biharmonique avec terme mémoire

Abstract

A high-order parabolic p-biLaplace equation with memory term is studied. Using Roth’s method, we managed to nd the approximate solution of the time semi-discretized problem. Some a priori estimates are proved, from which we extract convergence, existence, uniqueness and qualitative results in suitable functional spaces. A full discretization scheme using the mixed nite element method is introduced.