Weak solution to evolution problems of harmonic maps from noncompact manifolds

In this paper we construct a weak solution for the heat-type equation of harmonic maps from a noncompact manifold into a sphere using the so-called minimizing movement method with the aid of the relative energy.

Bibliographic Details
Main Author: A. Tachikawa
Format: Article
Language:English
Published: Sapienza Università Editrice 1999-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1999(3)/353-366.pdf