Electron. J. Differential Equations, Vol. 2017 (2017), No. 32, pp. 1-32.

Nonlinear parabolic problems with variable exponent and L1-data

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
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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