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Heat semi-group and generalized flows on complete Riemannian manifolds
Fang, Shizan1; Li, Huaiqian1,2; Luo, Dejun3
2011-09-01
Source PublicationBULLETIN DES SCIENCES MATHEMATIQUES
ISSN0007-4497
Volume135Issue:6-7Pages:565-600
AbstractWe will use the heat semi-group to regularize functions and vector fields on Riemannian manifolds in order to develop Di Perna-Lions theory in this setting. Malliavin's point of view of the bundle of orthonormal frames on Brownian motions will play a fundamental role. As a byproduct we will construct diffusion processes associated to an elliptic operator with singular drift. (C) 2011 Elsevier Masson SAS. All rights reserved.
DOI10.1016/j.bulsci.2011.05.002
Language英语
Funding Project[ANR-09-BLAN-0364-01]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000296173300004
PublisherGAUTHIER-VILLARS/EDITIONS ELSEVIER
Citation statistics
Cited Times:10[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/12700
Collection中国科学院数学与系统科学研究院
Affiliation1.Univ Bourgogne, IMB, Dijon, France
2.Beijing Normal Univ, Sch Math, Beijing 100875, Peoples R China
3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Fang, Shizan,Li, Huaiqian,Luo, Dejun. Heat semi-group and generalized flows on complete Riemannian manifolds[J]. BULLETIN DES SCIENCES MATHEMATIQUES,2011,135(6-7):565-600.
APA Fang, Shizan,Li, Huaiqian,&Luo, Dejun.(2011).Heat semi-group and generalized flows on complete Riemannian manifolds.BULLETIN DES SCIENCES MATHEMATIQUES,135(6-7),565-600.
MLA Fang, Shizan,et al."Heat semi-group and generalized flows on complete Riemannian manifolds".BULLETIN DES SCIENCES MATHEMATIQUES 135.6-7(2011):565-600.
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