English

Gradient estimates for an orthotropic nonlinear diffusion equation

Analysis of PDEs 2021-05-11 v1

Abstract

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

Keywords

Cite

@article{arxiv.2105.04108,
  title  = {Gradient estimates for an orthotropic nonlinear diffusion equation},
  author = {Pierre Bousquet and Lorenzo Brasco and Chiara Leone and Anna Verde},
  journal= {arXiv preprint arXiv:2105.04108},
  year   = {2021}
}

Comments

29 pages

R2 v1 2026-06-24T01:55:45.720Z