Long time behavior of Riemannian mean curvature flow of graphs

[摘要] In this paper we consider long time behavior of a mean curvature flow of nonparametric surface in R-n, 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 --> infinity. Its normalization u/sup u tends to the first eigenfunction of the associated linearized problem. (C) 2002 Elsevier Science (USA). All rights reserved.

[发布日期] 2002-09-15