On the Heat Flow for Harmonic Maps with Potential

被引：0
作者：
Ali Fardoun
Andrea Ratto
Rachid Regbaoui
机构：
[1] Université de Brest,Département de Mathématiques
[2] Facoltà di Ingegneria,Dipartimento di Matematica
[3] Université de Brest,Département de Mathématiques
来源：
Annals of Global Analysis and Geometry | 2000年 / 18卷
关键词：
harmonic maps; heat equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let (M, g) and (N, h) be twoconnected Riemannian manifolds without boundary (M compact,N complete). Let G ε C∞(N): ifu: M → N is a smooth map, we consider the functional EG(u) = (1/2) ∫M [|du|2− 2G(u)]dVM and we study its associated heat equation. Inthe compact case, we recover a version of the Eells–Sampson theorem,while for noncompact target manifold N, we establishsuitable hypotheses and ensure global existence and convergence atinfinity. In the second part of the paper, we study phenomena of blowingup solutions.
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页码：555 / 567
页数：12
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