A Strong Maximum Principle for Nonlinear Nonlocal Diffusion Equations

A Strong Maximum Principle for Nonlinear Nonlocal Diffusion Equations

We consider a class of nonlinear integro-differential equations that model degenerate nonlocal diffusion. We investigate whether the strong maximum principle is valid for this nonlocal equation. For degenerate parabolic PDEs, the strong maximum principle is not valid. In contrast, for nonlocal diffu...

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Bibliographic Details
Main Authors: Tucker Hartland, Ravi Shankar
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Axioms
Subjects:
nonlocal diffusion
nonlinear diffusion
integro-differential equations
maximum principle
strong maximum principle
degenerate
Online Access:https://www.mdpi.com/2075-1680/12/11/1059

Internet

https://www.mdpi.com/2075-1680/12/11/1059

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