Local solution and extension to the Calabi flow

2009/04/06 by He, Weiyong · 2 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0904.0978

Abstract

We consider the local solution to the Calabi flow for C^αinitial 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^∞ sense. This can be viewed as obtaining higher order derivative estimates from second order derivatives for a fourth order nonlinear equation.

Cited by

• Twisted Calabi functional and twisted Calabi flow
• Calabi flow with bounded L^p scalar curvature (II)

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