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2001 The Willmore flow near spheres
Gieri Simonett
Differential Integral Equations 14(8): 1005-1014 (2001).

Abstract

The Willmore flow leads to a quasilinear evolution equation of fourth order. We study existence, uniqueness and regularity of solutions. Moreover, we prove that solutions exist globally and converge exponentially fast to a sphere, provided that they are initially close to a sphere.

Citation

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Gieri Simonett. "The Willmore flow near spheres." Differential Integral Equations 14 (8) 1005 - 1014, 2001.

Information

Published: 2001
First available in Project Euclid: 21 December 2012

zbMATH: 1161.35429
MathSciNet: MR1827100

Subjects:
Primary: 53C44
Secondary: 35K55

Rights: Copyright © 2001 Khayyam Publishing, Inc.

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Vol.14 • No. 8 • 2001
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