Partial regularity for weak heat flows into spheres

Yunmei Chen, Jiayu Li, Fang‐Hua ‐H Lin

Research output: Contribution to journalArticlepeer-review


In this paper we show that a weak heat flow of harmonic maps from a compact Riemannian manifold (possibly with boundary) into a sphere, satisfying the monotonicity inequality and the energy inequality, is regular off a closed set of m‐dimensional Hausdorff measure zero.

Original languageEnglish (US)
Pages (from-to)429-448
Number of pages20
JournalCommunications on Pure and Applied Mathematics
Issue number4
StatePublished - Apr 1995

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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