Non-local heat flows and gradient estimates on closed manifolds
Differential Geometry
2009-08-18 v2 Analysis of PDEs
Abstract
In this paper, we study two kind of L^2 norm preserved non-local heat flows on closed manifolds. We first study the global existence, stability and asymptotic behavior to such non-local heat flows. Next we give the gradient estimates of positive solutions to these heat flows.
Keywords
Cite
@article{arxiv.0907.1427,
title = {Non-local heat flows and gradient estimates on closed manifolds},
author = {Li Ma and Liang Cheng},
journal= {arXiv preprint arXiv:0907.1427},
year = {2009}
}
Comments
17 pages