Long time existence of Minimizing Movement solutions of Calabi flow
Differential Geometry
2012-12-04 v3 Analysis of PDEs
Abstract
We recast the Calabi flow in DeGiorgi's language of minimizing movements. We establish the long time existence of minimizing movements for K-energy with arbitrary initial condition. Furthermore we establish some a priori regularity of these solutions, and that sufficiently regular minimizing movements are smooth solutions to Calabi flow.
Keywords
Cite
@article{arxiv.1208.2718,
title = {Long time existence of Minimizing Movement solutions of Calabi flow},
author = {Jeff Streets},
journal= {arXiv preprint arXiv:1208.2718},
year = {2012}
}
Comments
2 figures, some corrections made