Hyun-Jung Kim
Abstract
Suppose that (M,g) is a complete and noncompact Riemannian mani-fold with Ricci curvature bounded below by and (N, ) is a complete Riemannian manifold with nonpositive sectional curvature. Let u : be the solution of a heat equation for harmonic map with a bounded image. We estimate the energy density of u.
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Suppose that (M,g) is a complete and noncompact Riemannian mani-fold with Ricci curvature bounded below by and (N, ) is a complete Riemannian manifold with nonpositive sectional curvature. Let u : be the solution of a heat equation for harmonic map with a bounded image. We estimate the energy density of u.
Key concepts: Harmonic map, Heat equation, Energy (signal processing), Physics, Mathematical analysis, Mathematics, Statistics