The Heat Flows of Harmonic Maps from $S^2$ to $S^2$

J. Math. Sci. Univ. Tokyo
Vol. 3 (1996), No. 1, Page 1--13.

Asai, Keisui
The Heat Flows of Harmonic Maps from $S^2$ to $S^2$
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Abstract:
In this paper we show that the heat flow $u(x,t)$ with a rotationally symmetric initial map $u_0(x,t)$ converges to a harmonic map as $t\to\infty$ if $n=1$ and \$0
Mathematics Subject Classification (1991): Primary 58E20
Mathematical Reviews Number: MR1414616