Regularity for the approximated harmonic map equation and application to the heat flow for harmonic maps |
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Authors: | Roger Moser |
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Institution: | 1.Max-Planck-Institute for Mathematics in the Sciences, Inselstra?e 22–26, 04103 Leipzig, Germany (e-mail: moser@mis.mpg.de)
,DE |
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Abstract: | Let be open and a smooth, compact Riemannian manifold without boundary. We consider the approximated harmonic map equation for maps , where . For , we prove H?lder continuity for weak solution s which satisfy a certain smallness condition. For , we derive an energy estimate which allows to prove partial regularity for stationary solutions of the heat flow for harmonic
maps in dimension .
Received: 7 May 2001; / in final form: 22 February 2002 Published online: 2 December 2002 |
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Keywords: | |
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