On some nonlinear parabolic equations with variable exponents and measure data
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29 may 2020
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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
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© 2020 Bouchra El Hamdaoui et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.