Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations

Mostafa Bendahmane, Kenneth H. Karlsen

Type: Article

Publication Date: 2004-01-01

Citations: 104

DOI: https://doi.org/10.1137/s0036141003428937

Abstract

We prove the well-posedness (existence and uniqueness) of renormalized entropy solutions to the Cauchy problem for quasi-linear anisotropic degenerate parabolic equations with L1 data. This paper complements the work by Chen and Perthame [Ann. Inst. H. Poincaré Anal. Non Linéaire, 20 (2003), pp. 645--668], who developed a pure L1 theory based on the notion of kinetic solutions.

Locations

Duo Research Archive (University of Oslo) - View - PDF
SIAM Journal on Mathematical Analysis - View

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