Regularity of weak flow of harmonic maps into manifolds with symmetries (Q2708690)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity of weak flow of harmonic maps into manifolds with symmetries |
scientific article |
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18 January 2002
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harmonic maps
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heat flow
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weak solutions
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regularity
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0.96228254
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0.9136936
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0.9060738
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0.90268666
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0.90070564
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0.89980805
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0.8996057
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Regularity of weak flow of harmonic maps into manifolds with symmetries (English)
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The author summarizes results that he obtained with \textit{J. Li} and \textit{F.-H. Lin} in [Commun. Pure Appl. Math. 48, No. 4, 429-448 (1995; Zbl 0827.35024)] and with \textit{C. Wang} in [Commun. Partial Differ. Equations 21, No. 5-6, 735-761 (1996; Zbl 0861.58034)]. From the author's abstract: NEWLINENEWLINENEWLINEAny weak flow of harmonic maps from an \(m\)-dimensional compact Riemannian manifold (possibly with boundary) into a homogeneous space or a sphere with finite energy which satisfies the monotonicity inequality and the energy inequality is regular off a closed set of \(m\)-dimensional Hausdorff measure zero (w.r.t.\ the parabolic metric).NEWLINENEWLINEFor the entire collection see [Zbl 0958.00029].
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