### Renormalized Entropy Solutions for Quasilinear Anisotropic Degenerate Parabolic Equations.

Mostafa Bendahmane and Kenneth H. Karlsen

Abstract: We prove the well posedness (existence and uniqueness) of renormalized entropy solutions to the Cauchy problem for quasilinear anisotropic degenerate parabolic equations with $L^1$ data. This paper complements the work by Chen and Perthame \cite{ChenPerthame}, who developed a pure $L^1$ theory based on the notion of kinetic solutions.

Paper:
Available as PDF (264 Mbytes).
Author(s):
Mostafa Bendahmane, <mostafab@math.uio.no>
Kenneth H. Karlsen, <kennethk@mi.uib.no>
Publishing information:
Revised version submitted on June 10 2003.