Gradient estimates for an orthotropic nonlinear diffusion equation

Pierre Bousquet, Lorenzo Brasco, Chiara Leone, Anna Verde · Advances in Calculus of Variations · 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.

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