## Differential and Integral Equations

### A remark on harmonic map flows from surfaces

Changyou Wang

#### 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.

#### Article information

Source
Differential Integral Equations, Volume 12, Number 2 (1999), 161-166.

Dates
First available in Project Euclid: 29 April 2013

https://projecteuclid.org/euclid.die/1367265627

Mathematical Reviews number (MathSciNet)
MR1672738

Zentralblatt MATH identifier
1008.58014

Subjects