Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian

Taheri, Ali (2021) Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian. Advances in Calculus of Variations. pp. 1-17. ISSN 1864-8258

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Abstract

In this paper, we establish local and global elliptic type gradient estimates for a nonlinear parabolic equation on a smooth metric measure space whose underlying metric and potential satisfy a (k,m)-super Perelman–Ricci flow inequality. We discuss a number of applications and implications including curvature free global estimates and some constancy and Liouville type results.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Analysis and Partial Differential Equations Research Group
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 07 Sep 2021 06:47
Last Modified: 07 Sep 2021 09:15
URI: http://sro.sussex.ac.uk/id/eprint/101549

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