Abstract
In this paper, we prove the Li-Yau-Hamilton differential Harnack inequality and the Harnack inequality for positive solutions to the heat equation associated with the Witten Laplacian on weighted compact or completemanifolds with time dependent complete Riemannian metrics and potentials. In particular, we prove the Li-Yau-Hamilton differential Harnack inequality and the Harnack inequality for positive solutions to the heat equation associated with theLaplace-Beltrami operatoron compact or complete Riemannian manifolds with the Ricci flow or the backward Ricci flow.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
