Existence, uniqueness and continuity results of weak solutions for nonlocal nonlinear parabolic problems

This paper is concerned with the study of a nonlocal nonlinear parabolic problem associated with the equation $u_t-M(\int_{\Omega}\phi u {\rm d}x){\rm div} (A(x,t,u)\nabla u)=g(x,t,u)$ in $\Omega\times(0,T)$, where $\Omega$ is a bounded domain of $\mathbb{R}^n$ $(n\geq1)$, $T>0$ is a positive...

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Bibliographic Details
Main Authors: Tayeb Benhamoud, Elmehdi Zaouche, Mahmoud Bousselsal
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2024-12-01
Series:Mathematica Bohemica
Subjects:
Online Access:https://mb.math.cas.cz/full/149/4/mb149_4_5.pdf
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