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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 2
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Articles

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
Pages 428-463 | Received 08 Oct 2017, Accepted 09 Apr 2019, Published online: 30 Apr 2019
 
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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.

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Disclosure statement

No potential conflict of interest was reported by the authors.

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