Elliptic gradient estimates for the doubly nonlinear diffusion equation

2018 ◽  
Vol 176 ◽  
pp. 20-35
Author(s):  
Shan Yan ◽  
Lin Feng Wang
Keyword(s):  
Diffusion Equation ◽  
Nonlinear Diffusion ◽  
Nonlinear Diffusion Equation ◽  
Gradient Estimates ◽  
Doubly Nonlinear

scholarly journals Gradient estimates for an orthotropic nonlinear diffusion equation

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Pierre Bousquet ◽  
Lorenzo Brasco ◽  
Chiara Leone ◽  
Anna Verde
Keyword(s):  
Parabolic Equation ◽  
Diffusion Equation ◽  
Weak Solutions ◽  
Nonlinear Diffusion ◽  
Degenerate Parabolic Equation ◽  
Nonlinear Diffusion Equation ◽  
Gradient Estimates ◽  
Lipschitz Continuous ◽  
Locally Lipschitz ◽  
Degenerate Parabolic

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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