Abdelali Sabri ; Ahmed Jamea ; Hamad Talibi Alaoui
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Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L1-data
Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L1-data
Authors: Abdelali Sabri ; Ahmed Jamea ; Hamad Talibi Alaoui
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Abdelali Sabri;Ahmed Jamea;Hamad Talibi Alaoui
In the present paper, we prove existence results of entropy solutions to a class of nonlinear degenerate parabolic p(·)-Laplacian problem with Dirichlet-type boundary conditions and L 1 data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.
Sabri, Abdelali; Jamea, Ahmed, 2020, Rothe Time-Discretization Method For A Nonlinear Parabolic P(U) -Laplacian Problem With Fourier-Type Boundary Condition And $$L^1$$-Data, Ricerche Di Matematica, 71, 2, pp. 609-632, 10.1007/s11587-020-00544-2.
Saffidine, Khaoula Imane; Mesbahi, Salim, 2021, On The Existence And Uniqueness Of Positive Solution For A Degenerate Reaction-Diffusion Problem, 2021 International Conference On Recent Advances In Mathematics And Informatics (Icrami), 10.1109/icrami52622.2021.9585992.