Parabolic Equations in Musielak-Orlicz-Sobolev Spaces

Oubeid, M.L. Ahmed; Benkirane, A.; Vally, M. Sidi El

Research Article

Parabolic Equations in Musielak-Orlicz-Sobolev Spaces

M.L. Ahmed Oubeid¹
A. Benkirane¹
M. Sidi El Vally²*

DÉPARTEMENT DE MATHÉMATIQUES ET INFORMATIQUE, FACULTÉ DES SCIENCES DHAR-MAHRAZ, B. P. 1796 ATLAS FÈS, MAROC
King khaled University

* Corresponding author

Abstract

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.

How to Cite

M. L. A. Oubeid, A. Benkirane, M. S. E. Vally, Parabolic Equations in Musielak-Orlicz-Sobolev Spaces, Int. J. Anal. Appl. 4 (2014), 174–191.

BibTeX

@article{Oubeid2014,
  author  = {Oubeid, M.L. Ahmed and Benkirane, A. and Vally, M. Sidi El},
  title   = {Parabolic Equations in Musielak-Orlicz-Sobolev Spaces},
  journal = {Int. J. Anal. Appl.},
  volume  = {4},
  year    = {2014},
  pages   = {174--191},
  doi     = {}
}

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