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ON HARNACK INEQUALITIES FOR WITTEN LAPLACIAN ON RIEMANNIAN MANIFOLDS WITH SUPER RICCI FLOWS
Li, Songzi1; Li, Xiang-Dong2,3
2018-06-01
Source PublicationASIAN JOURNAL OF MATHEMATICS
ISSN1093-6106
Volume22Issue:3Pages:577-598
AbstractIn this paper, we prove the Li-Yau type Harnack inequality for the heat equation partial derivative(t)u = Lu associated with the time dependent. Witten Laplacian on manifolds equipped with a variant of complete backward (-K, m)-super Perelman Ricci flows. Moreover, using a probabilistic approach we prove an improved Hamilton type Iiarnack inequality on manifolds equipped with complete (-K)-super Perelman Ricci flows.
KeywordHarnack inequality super Perelman Ricci flows Witten Laplacian
Language英语
Funding ProjectNSFC[11771430] ; Key Laboratory RCSDS, CAS[2008DP173182] ; Hua Luo-Keng Research Grant of AMSS, CAS
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000441083200010
PublisherINT PRESS BOSTON, INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30813
Collection应用数学研究所
Affiliation1.Renmin Univ China, Sch Math, Beijing 100872, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Li, Songzi,Li, Xiang-Dong. ON HARNACK INEQUALITIES FOR WITTEN LAPLACIAN ON RIEMANNIAN MANIFOLDS WITH SUPER RICCI FLOWS[J]. ASIAN JOURNAL OF MATHEMATICS,2018,22(3):577-598.
APA Li, Songzi,&Li, Xiang-Dong.(2018).ON HARNACK INEQUALITIES FOR WITTEN LAPLACIAN ON RIEMANNIAN MANIFOLDS WITH SUPER RICCI FLOWS.ASIAN JOURNAL OF MATHEMATICS,22(3),577-598.
MLA Li, Songzi,et al."ON HARNACK INEQUALITIES FOR WITTEN LAPLACIAN ON RIEMANNIAN MANIFOLDS WITH SUPER RICCI FLOWS".ASIAN JOURNAL OF MATHEMATICS 22.3(2018):577-598.
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