Partial convexity to the heat equation
Differential Geometry
2009-10-14 v2 Analysis of PDEs
Abstract
In this paper, we study the partial convexity of smooth solutions to the heat equation on a compact or complete non-compact Riemannian manifold M or Kahler-Ricci flow. We show that under a natural assumption, a new partial convexity property for smooth solutions to the heat equation is preserved.
Cite
@article{arxiv.math/0604059,
title = {Partial convexity to the heat equation},
author = {Li Ma},
journal= {arXiv preprint arXiv:math/0604059},
year = {2009}
}
Comments
9 pages