Removability of the singular set of the heat flow of harmonic maps
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- by Yunmei Chen and Livio Flaminio PDF
- Proc. Amer. Math. Soc. 124 (1996), 513-525 Request permission
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.References
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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
- Received by editor(s): September 4, 1994
- Additional Notes: The first author was supported by NSF grant #DMS-9101911
- Communicated by: Peter Li
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 513-525
- MSC (1991): Primary 35B65, 35D10, 49N60, 35Kxx, 58E20, 58G11
- DOI: https://doi.org/10.1090/S0002-9939-96-03169-3
- MathSciNet review: 1307502