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Removability of the singular set of the heat flow of harmonic maps

Author(s): Yunmei Chen; Livio Flaminio
Journal: Proc. Amer. Math. Soc. 124 (1996), 513-525.
MSC (1991): Primary 35B65, 35D10, 49N60, 35Kxx, 58E20, 58G11
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Abstract: We show that the singular set of a weak stationary solution $u$ of the heat flow of harmonic maps between Riemannian manifolds $M$ and $N$, with $N$ compact, is removable if it has ``parabolic codimension'' greater than two and the initial energy $E(u_0)$ is sufficiently small.

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Additional Information:

Yunmei Chen
Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611
Email: yunmei@math.ufl.edu

Livio Flaminio
Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611
Email: flaminio@math.ufl.edu

DOI: 10.1090/S0002-9939-96-03169-3
PII: S 0002-9939(96)03169-3
Keywords: Heat flow, harmonic maps
Received by editor(s): September 4, 1994
Additional Notes: The first author was supported by NSF grant \#DMS-9101911
Communicated by: Peter Li
Copyright of article: Copyright 1996, American Mathematical Society

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