Stanislas Ouaro, Arouna Ouedraogo
Abstract:
In this article, we prove the existence and uniqueness of entropy solutions
to nonlinear parabolic equation with variable exponent and L1-data.
The functional setting involves Lebesgue and Sobolev spaces with variable
exponent.
Submitted October 9, 2013. Published January 29, 2017.
Math Subject Classifications: 35K55, 35D05.
Key Words: Parabolic equation; variable exponent; entropy solution; L1-data.
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Stanislas Ouaro Université Ouaga I-Professeur Joseph KI ZERBO Unité de Formation et de Recherche en Sciences Exactes et Appliquées Département de Mathématiques 03 BP.7021 Ouagadougou 03, Burkina Faso email: souaro@univ-ouaga.bf, ouaro@yahoo.fr |
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Arouna Ouédraogo Université de Koudoguou Unité de formation et de recherche en sciences et technologie Département de mathématiques BP 376 Koudogou, Burkina Faso email: arounaoued2002@yahoo.fr |
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