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高校应用数学学报
高校应用数学学报  2015, Vol. 30 Issue (2): 217-222    
    
黎曼流形上双曲梯度流光滑解的整体存在性
罗少盈
浙江大学 数学系, 浙江杭州 310027
Global existence of smooth solutions to hyperbolic gradient flows on Riemannian manifolds
LUO Shao-ying
Department of Mathematics, Zhejiang University, Hangzhou 310027, China
 全文: PDF 
摘要： 利用特征线方法研究了黎曼流形上的一类新的流–双曲梯度流. 给出了光滑解整体存在的充分条件和必要条件. 同时获得了解的唯一性和衰减估计.
关键词： 双曲梯度流;  黎曼流形;  光滑解;  整体存在性;  衰减估计    
Abstract: By the characteristic method, a new geometric flow-the hyperbolic gradient flow was studied. The necessary and sufficient conditions for the global existence of smooth solution were given. The uniqueness and decay estimates of solution were also discussed.
Key words: hyperbolic gradient flow    Riemannian manifold    smooth solution    global existence    decay estimate
收稿日期: 2015-03-06 出版日期: 2018-06-05
CLC:  O175.27  
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罗少盈

引用本文:

罗少盈. 黎曼流形上双曲梯度流光滑解的整体存在性[J]. 高校应用数学学报, 2015, 30(2): 217-222.

LUO Shao-ying. Global existence of smooth solutions to hyperbolic gradient flows on Riemannian manifolds. Applied Mathematics A Journal of Chinese Universities, 2015, 30(2): 217-222.

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http://www.zjujournals.com/amjcua/CN/    或    http://www.zjujournals.com/amjcua/CN/Y2015/V30/I2/217

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