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Heat flow of harmonic maps from noncompact manifolds
Authors:Meng Wang  Xiao-feng Liu
Affiliation:[1]Dept. of Math., Zhejiang Univ., Hangzhou 310027, China [2]Dept. of Appl. Math., Donghua Univ., Shanghai 201620, China
Abstract:The global existence of the heat flow for harmonic maps from noncompact manifolds is considered.When Lm norm of the gradient of initial data is small,the existence of a global solution is proved.
Keywords:heat flow  noncompact complete manifold  harmonic map
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