ON HARNACK INEQUALITIES FOR WITTEN LAPLACIAN ON RIEMANNIAN MANIFOLDS WITH SUPER RICCI FLOWS | |
Li, Songzi1; Li, Xiang-Dong2,3 | |
刊名 | ASIAN JOURNAL OF MATHEMATICS |
2018-06-01 | |
卷号 | 22期号:3页码:577-598 |
关键词 | Harnack inequality super Perelman Ricci flows Witten Laplacian |
ISSN号 | 1093-6106 |
英文摘要 | 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. |
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 |
语种 | 英语 |
出版者 | INT PRESS BOSTON, INC |
WOS记录号 | WOS:000441083200010 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30812] |
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. |
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