Long time existence of Minimizing Movement solutions of Calabi flow

Jeff Streets

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arXiv · 1208.2718

Long time existence of Minimizing Movement solutions of Calabi flow

Jeff Streets

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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.

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Jeff Streets. 2012-08-13. Long time existence of Minimizing Movement solutions of Calabi flow. https://arxiv.org/abs/1208.2718

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