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Existence of the self-similar solutions in the heat flow of harmonic maps

✍ Scribed by Huijun Fan


Publisher
SP Science China Press
Year
1999
Tongue
English
Weight
933 KB
Volume
42
Category
Article
ISSN
1674-7283

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The heat flow of harmonic maps from nonc
✍ Meng Wang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 411 KB

We consider the existence, uniqueness and convergence for the long time solution to the harmonic map heat equation between two complete noncompact Riemannian manifolds, where the target manifold is assumed to have nonpositive curvature. As a corollary, we show that if the tension field is in L p , t