Title: A note on entropy solutions for degenerate parabolic equations with L¹ ∩ L^p data

Authors: Mostafa Bendahmane; Kenneth Hvistendahl Karlsen

Addresses: Institut Mathematiques de Bordeaux, Universite Victor Segalen Bordeaux 2, Place de la Victoire, 33076 Bordeaux, France. ' Centre of Mathematics for Applications, Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, N–0316 Oslo, Norway

Abstract: We prove existence and uniqueness results for entropy solutions of degenerate parabolic equations with appropriately growing nonlinearities and unbounded initial data.

Keywords: degenerate parabolic equations; quasilinear; anisotropic diffusion; entropy solutions; uniqueness; existence; nonlinearity.

DOI: 10.1504/IJDSDE.2012.045996

International Journal of Dynamical Systems and Differential Equations, 2012 Vol.4 No.1/2, pp.78 - 92

Published online: 10 Dec 2014 *

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