Li–Yau-Type Gradient Estimate along Geometric Flow-Reference-Cited by-同舟云学术

Li–Yau-Type Gradient Estimate along Geometric Flow

Published:2023-03-10 Issue:6 Volume:11 Page:1364
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Hui Shyamal Kumar¹^ORCID,Abolarinwa Abimbola²^ORCID,Khan Meraj Ali³,Mofarreh Fatemah⁴^ORCID,Saha Apurba¹^ORCID,Bhattacharyya Sujit¹^ORCID

Affiliation:

1. Department of Mathematics, The University of Burdwan, Golapbag, Burdwan 713104, India

2. Department of Mathematics, University of Lagos, Akoka 101017, Lagos State, Nigeria

3. Department of Mathematics and Statistics, Imam Muhammad Ibn Saud Islamic University, Riyadh 11566, Saudi Arabia

4. Department of Mathematical Science, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi Arabia

Abstract

In this article we derive a Li–Yau-type gradient estimate for a generalized weighted parabolic heat equation with potential on a weighted Riemannian manifold evolving by a geometric flow. As an application, a Harnack-type inequality is also derived in the end.

Funder

Princess Nourah bint Abdulrahman University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/6/1364/pdf

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4. Perelman, G. (2002). The entropy formula for the Ricci flow and its geometric applications. arXiv.

5. Perelman, G. (2003). Ricci flow with surgery on three-manifolds. arXiv.

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