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Bubbling of the heat flows for harmonic maps from surfaces

✍ Scribed by Jie Qing; Gang Tian

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
131 KB
Volume
50
Category
Article
ISSN
0010-3640

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✦ Synopsis

In this article we prove that any Palais-Smale sequence of the energy functional on surfaces with uniformly L 2 -bounded tension fields converges pointwise, by taking a subsequence if necessary, to a map from connected (possibly singular) surfaces, which consist of the original surfaces and finitely many bubble trees. We therefore get the corresponding results about how the solutions of heat flow for harmonic maps from surfaces form singularities at infinite time.

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