The Heat Flows of Harmonic Maps from $S^2$ to $S^2$ | Graduate School of Mathematical Sciences, The University of Tokyo

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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 $S^2$
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

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

Received: 1994-02-25

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