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On some nonlinear parabolic equations with variable exponents and measure data

Bouchra El Hamdaoui

Bouchra El Hamdaoui

Université Sidi Mohammed Ben Abdellah, Département de Mathématiques, Laboratoire LAMA, Faculté des Sciences Dhar-MahrezAtlas Fés, Morocco
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Hamdaoui, Bouchra El
 and 
Jaouad Bennouna

Jaouad Bennouna

Université Sidi Mohammed Ben Abdellah, Département de Mathématiques, Laboratoire LAMA, Faculté des Sciences Dhar-MahrezAtlas Fés, Morocco
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Bennouna, Jaouad
  
May 29, 2020
On some nonlinear parabolic equations with variable exponents and measure data's Cover Image
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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
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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.

Language:
English
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Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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