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Gradient estimates for an orthotropic nonlinear diffusion equation

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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. Click to show full abstract

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: orthotropic nonlinear; estimates orthotropic; equation; diffusion equation; gradient estimates; nonlinear diffusion

Journal Title: Advances in Calculus of Variations
Year Published: 2021

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