The p-Harmonic Heat Flow with Potential into Homogeneous Spaces |
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Authors: | Xian Gao Liu Sheng Hong Li |
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Affiliation: | (1) Institute of Mathematics, Fudan University, Shanghai, 200433 P. R. China E-mail: xgliuk@online.sh.cn, CN;(2) Institute of Mathematics, Zhejiang University, Hangzhou, 310027, P. R. China E-mail: lsh@math.zju.edu.cn, CN |
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Abstract: | In this paper we prove the existence of global weak solutions of the p-harmonic flow with potential between Riemannian manifolds M and N for arbitrary initial data having finite p-energy in the case when the target N is a homogeneous space with a left invariant metric. Received March 17, 1999, Revised September 22, 1999, Accepted October 15, 1999 |
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Keywords: | p-Harmonic heat flow Homogeneous space Existence |
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