ON HARNACK INEQUALITIES FOR WITTEN LAPLACIAN ON RIEMANNIAN MANIFOLDS WITH SUPER RICCI FLOWS

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	ON HARNACK INEQUALITIES FOR WITTEN LAPLACIAN ON RIEMANNIAN MANIFOLDS WITH SUPER RICCI FLOWS
	Li, Songzi 1; Li, Xiang-Dong2,3
	2018-06-01
发表期刊	ASIAN JOURNAL OF MATHEMATICS
ISSN	1093-6106
卷号	22 期号:3 页码:577-598
摘要	In 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.
关键词	Harnack inequality super Perelman Ricci flows Witten Laplacian
语种	英语
资助项目	NSFC[11771430] ; Key Laboratory RCSDS, CAS[2008DP173182] ; Hua Luo-Keng Research Grant of AMSS, CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000441083200010
出版者	INT PRESS BOSTON, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30813
专题	应用数学研究所
通讯作者	Li, Xiang-Dong
作者单位	1.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
推荐引用方式 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.