[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7468/jksmeb.2011.18.1.079

AN ENERGY DENSITY ESTIMATE OF HEAT EQUATION FOR HARMONIC MAP

Kim, Hyun-Jung (Department of Mathematics, Hoseo University)

Publication Information

The Pure and Applied Mathematics / v.18, no.1, 2011 , pp. 79-86 More about this Journal

Abstract

Suppose that (M,g) is a complete and noncompact Riemannian mani-fold with Ricci curvature bounded below by $-K{\leq}0$ and (N, $\bar{g}$ ) is a complete Riemannian manifold with nonpositive sectional curvature. Let u : $M{\times}[0,{\infty}){\rightarrow}N$ be the solution of a heat equation for harmonic map with a bounded image. We estimate the energy density of u.

Keywords

heat equation for harmonic map; energy density; Liouville Theorem;

Citations & Related Records

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