Existence and Uniqueness of Renormalized Solutions for a Nonlinear p(x)‐Parabolic Problem With Lower Order Term and General Data
ABSTRACT In this article, we focus on a class of nonlinear parabolic problems having variable exponents, a strictly increasing ‐function , and general measure data . The existence and uniqueness of a renormalized solution to the given problem are constructed by combining the theory of monotone operators, the truncation approach, and Marcinkiewicz estimation.
Authors
- Saïd Melliani (ORCID: https://orcid.org/0000-0002-5150-1185)
- Abderrazak Kassidi (ORCID: https://orcid.org/0000-0002-9105-1123)
- Ghizlane Zineddaine
- Abdelaziz Sabiry (ORCID: https://orcid.org/0000-0002-6247-2164)
Institutions
- Université Sultan Moulay Slimane (MA)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-01-29
- DOI
- https://doi.org/10.1002/mma.10744
- Citations
- 2
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 7.38