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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The volume preserving mean curvature flow
near spheres


Authors: Joachim Escher and Gieri Simonett
Journal: Proc. Amer. Math. Soc. 126 (1998), 2789-2796
MSC (1991): Primary 53C42, 58G11, 58F39; Secondary 35K99
MathSciNet review: 1485470
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Abstract: By means of a center manifold analysis we investigate the averaged mean curvature flow near spheres. In particular, we show that there exist global solutions to this flow starting from non-convex initial hypersurfaces.


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Additional Information

Joachim Escher
Affiliation: Mathematical Institute, University of Basel, CH-4051 Basel, Switzerland
Address at time of publication: FB 17 Mathematics, University of Kassel, D-34132 Kassel, Germany
Email: escher@mathematik.uni-kassel.de

Gieri Simonett
Affiliation: Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240
Email: simonett@math.vanderbilt.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04727-3
PII: S 0002-9939(98)04727-3
Keywords: Generalized motion by mean curvature, center manifolds
Received by editor(s): December 14, 1996
Received by editor(s) in revised form: February 7, 1997
Communicated by: Peter Li
Article copyright: © Copyright 1998 American Mathematical Society