Parabolic Equations in Musielak-Orlicz-Sobolev Spaces

We prove in this paper the existence of solutions of nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces. An approximation and a trace results in inhomogeneous Musielak-Orlicz-Sobolev spaces have also been provided.

Bibliographic Details
Main Authors: M.L. Ahmed Oubeid, A. Benkirane, M. Sidi El Vally
Format: Article
Language:English
Published: Etamaths Publishing 2013-11-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/168
Description
Summary:We prove in this paper the existence of solutions of nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces. An approximation and a trace results in inhomogeneous Musielak-Orlicz-Sobolev spaces have also been provided.
ISSN:2291-8639