Calculus of Variations and Geometric Measure Theory
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P. Bousquet - L. Brasco - C. Leone - A. Verde

Gradient estimates for an orthotropic nonlinear diffusion equation

created by brasco on 01 May 2021
modified on 10 May 2021

[BibTeX]

Preprint

Inserted: 1 may 2021
Last Updated: 10 may 2021

Pages: 28
Year: 2021

Abstract:

We consider a quasilinear degenerate parabolic equation driven by the orthotropic $p-$Laplacian. We prove that local weak solutions are locally Lipschitz continuous in the spatial variable, uniformly in time.

Keywords: lipschitz continuity, Degenerate parabolic equations, anisotropic operators


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