Heat flow of harmonic maps from noncompact manifolds

Applied Mathematics-A Journal of Chinese Universities(2008)

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Abstract
The global existence of the heat flow for harmonic maps from noncompact manifolds is considered. When L m norm of the gradient of initial data is small, the existence of a global solution is proved.
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Key words
58E20,35R45,49N60,heat flow,noncompact complete manifold,harmonic map
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