Existence and uniqueness of entropy solutions to nonlinear parabolic problem with homogeneous Dirichlet boundary conditions involving variable exponent

In this paper, we prove the existence and uniqueness of entropy solution to nonlinear parabolic problem with homogeneous Dirichlet boundary conditions with L 1 -data. The functional setting involves Lebesgue and Sobolev spaces with variable exponent. The general assumptions and the nonlinear semigro...

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Veröffentlicht in:	SeMA journal 2019-03, Vol.76 (1), p.153-180
Hauptverfasser:	Kyelem, Bila Adolphe, Ouedraogo, Arouna, Zongo, Frédéric D. Y.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Boundary conditions Dirichlet problem Entropy Entropy of solution Mathematics Mathematics and Statistics Sobolev space Uniqueness
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