<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We prove the existence of renormalized solutions to a class of nonlinear evolution equations, supplemented with initial and Dirichlet condition in the framework of generalized Sobolev spaces. The data are assumed merely integrable.</p></abstract>

We prove the existence of renormalized solutions to a class of nonlinear evolution equations, supplemented with initial and Dirichlet condition in the framework of generalized Sobolev spaces. The data are assumed merely integrable.

On some nonlinear parabolic equations with variable exponents and measure data

Département de Mathématiques, Laboratoire LAMA, Faculté des Sciences Dhar-Mahrez

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On some nonlinear parabolic equations with variable exponents and measure data"}

We prove the existence of renormalized solutions to a class of nonlinear evolution equations, supplemented with initial and Dirichlet condition in the...

On some nonlinear parabolic equations with variable exponents and measure data

Published Online: May 29, 2020

Page range: 93 - 117

Received: Feb 25, 2020

Accepted: Apr 25, 2020

DOI: https://doi.org/10.2478/mjpaa-2020-0008

Keywords
Parabolic problems, Sobolev space with variable exponent, renormalized solutions

© 2020 Bouchra El Hamdaoui et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On some nonlinear parabolic equations with variable exponents and measure data

Published Online: May 29, 2020

Page range: 93 - 117

Received: Feb 25, 2020

Accepted: Apr 25, 2020

DOI: https://doi.org/10.2478/mjpaa-2020-0008

KeywordsParabolic problems, Sobolev space with variable exponent, renormalized solutions

© 2020 Bouchra El Hamdaoui et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Parabolic problems, Sobolev space with variable exponent, renormalized solutions