Bubbling of the heat flows for harmonic maps from surfaces

Jie Qing, Gang Tian

Research output: Contribution to journalArticlepeer-review

99 Scopus citations


In this article we prove that any Palais-Smale sequence of the energy functional on surfaces with uniformly L2-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.

Original languageEnglish (US)
Pages (from-to)295-310
Number of pages16
JournalCommunications on Pure and Applied Mathematics
Issue number4
StatePublished - Apr 1997

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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