Local solution and extension to the Calabi flow
Differential Geometry
2009-04-19 v2 Analysis of PDEs
Abstract
We consider the local solution to the Calabi flow for C^\alpha initial metric. We also prove that the Calabi flow on compact Kaehler surfaces can be extended once the metrics along the flow are bounded in L^\infty sense. This can be viewed as obtaining higher order derivative estimates from second order derivatives for a fourth order nonlinear equation.
Cite
@article{arxiv.0904.0978,
title = {Local solution and extension to the Calabi flow},
author = {Weiyong He},
journal= {arXiv preprint arXiv:0904.0978},
year = {2009}
}
Comments
11 pages; Proof of Theorem 2.1 is rewritten