A stable manifold theorem for the curve shortening equation

198782 citationsJournal Article

Authors

Charles L. Epstein · California University of Pennsylvania

Michael I. Weinstein · Princeton University

Abstract

Abstract We present a family of homothetic solutions to the equation for a planar curve and prove the existence of nonlinear stable and unstable manifolds about each such solution.

Topics & Keywords

Geometric Analysis and Curvature Flows Advanced Differential Equations and Dynamical Systems Geometry and complex manifolds

Publication Details

Published in: Communications on Pure and Applied Mathematics

Volume 40, Issue 1, pp. 119-139

DOI: 10.1002/cpa.3160400106

Field-Weighted Citation Impact: 4.92

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A stable manifold theorem for the curve shortening equation

Authors

Abstract

Topics & Keywords

Publication Details