Rothe's method for a nonlinear parabolic problem in Musielak–Orlicz spaces

M. Mabdaouia Department of Mathematics, Faculty of Sciences and Techniques, Abdelmalek Essaadi University, Tangier, Morocco

L. Essafia Department of Mathematics, Faculty of Sciences and Techniques, Abdelmalek Essaadi University, Tangier, MoroccoCorrespondence[email protected]

M. Rhoudafb Department of Mathematics, Faculty of Science, Moulay Ismail University, Meknes, Morocco

ABSTRACT

We prove in this paper the uniqueness and existence of solutions for some nonlinear parabolic problems in Musielak–Orlicz–Sobolev spaces by using the Rothe time-discretization method.

COMMUNICATED BY:

B. Amaziane

KEYWORDS:

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

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Rothe's method for a nonlinear parabolic problem in Musielak–Orlicz spaces

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Rothe's method for a nonlinear parabolic problem in Musielak–Orlicz spaces

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