Abstract
We prove that any weak harmonic map flow $u$ from a Riemannian surface to a general manifold is smooth, provided that $\sup_{0\le t<\infty}E(u(\cdot,t))$ is sufficiently small.
Citation
Changyou Wang. "A remark on harmonic map flows from surfaces." Differential Integral Equations 12 (2) 161 - 166, 1999. https://doi.org/10.57262/die/1367265627
Information
Published: 1999
First available in Project Euclid: 29 April 2013
zbMATH: 1008.58014
MathSciNet: MR1672738
Digital Object Identifier: 10.57262/die/1367265627
Subjects:
Primary:
58E20
Rights: Copyright © 1999 Khayyam Publishing, Inc.