<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

Publicado en línea: 29 may 2020

Páginas: 93 - 117

Recibido: 25 feb 2020

Aceptado: 25 abr 2020

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

Palabras clave
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

Publicado en línea: 29 may 2020

Páginas: 93 - 117

Recibido: 25 feb 2020

Aceptado: 25 abr 2020

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

Palabras claveParabolic 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.

Palabras clave
Parabolic problems, Sobolev space with variable exponent, renormalized solutions