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Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian.
- Source :
-
Advances in Calculus of Variations . Apr2023, Vol. 16 Issue 2, p425-441. 17p. - Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 18648258
- Volume :
- 16
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Advances in Calculus of Variations
- Publication Type :
- Academic Journal
- Accession number :
- 162710083
- Full Text :
- https://doi.org/10.1515/acv-2020-0099