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June 2012 Geometric flows with rough initial data
Herbert Koch, Tobias Lamm
Asian J. Math. 16(2): 209-235 (June 2012).

Abstract

We show the existence of a global unique and analytic solution for the mean curvature flow, the surface diffusion flow and the Willmore flow of entire graphs for Lipschitz initial data with small Lipschitz norm. We also show the existence of a global unique and analytic solution to the Ricci-DeTurck flow on euclidean space for bounded initial metrics which are close to the euclidean metric in $L^\infty$ and to the harmonic map flow for initial maps whose image is contained in a small geodesic ball.

Citation

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Herbert Koch. Tobias Lamm. "Geometric flows with rough initial data." Asian J. Math. 16 (2) 209 - 235, June 2012.

Information

Published: June 2012
First available in Project Euclid: 9 April 2012

zbMATH: 1252.35159
MathSciNet: MR2916362

Subjects:
Primary: 35K45, 53C44

Rights: Copyright © 2012 International Press of Boston

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Vol.16 • No. 2 • June 2012
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