Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations

We prove the well posedness (existence and uniqueness) of renormalized entropy solutions to the Cauchy problem for quasilinear anisotropic degenerate parabolic equations with L data. This paper complements the work by Chen and Perthame [19], who developed a pure L theory based on the notion of kinetic solutions.

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