2000 Soliton solutions for the mean curvature flow
N. Hungerbühler, K. Smoczyk
Differential Integral Equations 13(10-12): 1321-1345 (2000). DOI: 10.57262/die/1356061128

Abstract

We consider soliton solutions of the mean curvature flow, i.e., solutions which move under the mean curvature flow by a group of isometries of the ambient manifold. Several examples of solitons on manifolds are discussed. Moreover we present a local existence result for rotating solitons. We also prove global existence and stability for perturbed initial data close to a local soliton.

Citation

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N. Hungerbühler. K. Smoczyk. "Soliton solutions for the mean curvature flow." Differential Integral Equations 13 (10-12) 1321 - 1345, 2000. https://doi.org/10.57262/die/1356061128

Information

Published: 2000
First available in Project Euclid: 21 December 2012

zbMATH: 0990.53068
MathSciNet: MR1787070
Digital Object Identifier: 10.57262/die/1356061128

Subjects:
Primary: 53C44
Secondary: 35K55 , 35Q51

Rights: Copyright © 2000 Khayyam Publishing, Inc.

Vol.13 • No. 10-12 • 2000
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