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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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Official URL: https://doi.org/10.1515/acv-2020-0099
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 |
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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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