The Willmore flow near spheres
Open Access
- 1 January 2001
- journal article
- Published by Khayyam Publishing, Inc in Differential and Integral Equations
- Vol. 14 (8) , 1005-1014
- https://doi.org/10.57262/die/1356123177
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.Keywords
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