Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L1-data - Archive ouverte HAL
Article Dans Une Revue Communications in Mathematics Année : 2020

Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L1-data

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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.
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hal-03664982 , version 1 (11-05-2022)

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Abdelali Sabri, Ahmed Jamea, Hamad Talibi Alaoui. Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L1-data. Communications in Mathematics, 2020, Volume 28 (2020), Issue 1 (1), pp.67 - 88. ⟨10.2478/cm-2020-0006⟩. ⟨hal-03664982⟩
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