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The volume preserving mean curvature flow near spheres
Author(s):
Joachim
Escher;
Gieri
Simonett
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2789-2796.
MSC (1991):
Primary 53C42, 58G11, 58F39;
Secondary 35K99
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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.
References:
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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:
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
Copyright of article:
Copyright
1998,
American Mathematical Society
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