The volume preserving mean curvature flow near spheres
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- by Joachim Escher and Gieri Simonett PDF
- Proc. Amer. Math. Soc. 126 (1998), 2789-2796 Request permission
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
- Received by editor(s): December 14, 1996
- Received by editor(s) in revised form: February 7, 1997
- Communicated by: Peter Li
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2789-2796
- MSC (1991): Primary 53C42, 58G11, 58F39; Secondary 35K99
- DOI: https://doi.org/10.1090/S0002-9939-98-04727-3
- MathSciNet review: 1485470