<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

Publié en ligne: 29 mai 2020

Pages: 93 - 117

Reçu: 25 févr. 2020

Accepté: 25 avr. 2020

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

Mots clés
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

Publié en ligne: 29 mai 2020

Pages: 93 - 117

Reçu: 25 févr. 2020

Accepté: 25 avr. 2020

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

Mots clésParabolic 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.

Mots clés
Parabolic problems, Sobolev space with variable exponent, renormalized solutions