Global existence for reaction-diffusion evolution equations driven by the p-Laplacian on manifolds

Global existence for reaction-diffusion evolution equations driven by the p-Laplacian on manifolds

We consider reaction-diffusion equations driven by the $ p $-Laplacian on noncompact, infinite volume manifolds assumed to support the Sobolev inequality and, in some cases, to have $ L^2 $ spectrum bounded away from zero, the main example we have in mind being the hyperbolic space of any dimension....

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Bibliographic Details
Main Authors: Gabriele Grillo, Giulia Meglioli, Fabio Punzo
Format: Article
Language:English
Published: AIMS Press 2023-09-01
Series:Mathematics in Engineering
Subjects:
nonlinear reaction-diffusion equation
riemannian manifolds
$ p- $laplace equation
smoothing estimates
global existence
sobolev inequality
poincaré inequality
porous medium equation
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2023070?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mine.2023070?viewType=HTML

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