10.1016/S0022-247X(02)00233-0

Long time behavior of Riemannian mean curvature flow of graphs

Abstract

AbstractIn this paper we consider long time behavior of a mean curvature flow of nonparametric surface in Rn, with respect to a conformal Riemannian metric. We impose zero boundary value, and we prove that the solution tends to 0 exponentially fast as t→∞. Its normalization u/supu tends to the first eigenfunction of the associated linearized problem

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Last time updated on 6/5/2019

This paper was published in Elsevier - Publisher Connector .

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