Entropy solutions to parabolic equations in Musielak framework involving non coercivity term in divergence form

We prove the existence of solutions to nonlinear parabolic problems of the following type: \begin{cases} \dfrac{\partial b(u)}{\partial t}+ A(u) = f + {\rm div}(\Theta(x; t; u))& \text{in} Q, u(x; t) = 0 & \text{on} \partial\Omega\times[0; T], b(u)(t = 0) = b(u_0) & \text{on} \Ome...

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Bibliographic Details
Main Authors: Mohamed Saad Bouh Elemine Vall, Ahmed Ahmed, Abdelfattah Touzani, Abdelmoujib Benkirane
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2018-10-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/143/3/mb143_3_1.pdf