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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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


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:
  • Gieri Simonett
  • Affiliation: Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240
  • Email:
  • 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:
  • MathSciNet review: 1485470