Existence of a weak solutions to a class of nonlinear parabolic problems via topological degree method
| Autor: | Mohamed El Ouaarabi, Chakir Allalou, Melliani Melliani |
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| Rok vydání: | 2023 |
| Zdroj: | Gulf Journal of Mathematics. 14:148-159 |
| ISSN: | 2309-4966 |
| DOI: | 10.56947/gjom.v14i1.1091 |
| Popis: | In this paper, we study the existence of "weak solutions" for a class of nonlinear parabolic problems of the type ∂ u⁄∂ t - div Α (x, t, ∇ u) = Φ (x, t) + div B(x, t, u, ∇ u). Using Berkovits and Mustonen's topological degree theory, we demonstrate the existence of a weak solutions to the problems under consideration in the space Lp(0, T, W01, p(Ω)), where Ω is a bounded domain in RN, N ≥ 2 and p ≥ 2. |
| Databáze: | OpenAIRE |
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