Existence of weak solutions for a nonlinear parabolic equations by Topological degree

We prove the existence of a weak solution for the nonlinear parabolic initial boundary value problem associated to the equation ut − div a(x, t, u, ∇u) = f(x, t), by using the Topological degree theory for operators of the form L + S, where L is a linear densely defined maximal monotone map and S...

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Bibliographic Details
Main Authors: Mustapha Ait Hammou, Elhoussine Azroul
Format: Article
Language:English
Published: ATNAA 2020-10-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1233062