On some nonlinear parabolic equations with variable exponents and measure data
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.
DOI: https://doi.org/10.2478/mjpaa-2020-0008 | Journal eISSN: 2351-8227
Language: English
Page range: 93 - 117
Submitted on: Feb 25, 2020
Accepted on: Apr 25, 2020
Published on: May 29, 2020
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year
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© 2020 Bouchra El Hamdaoui, Jaouad Bennouna, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.