A note on the gradient of heat semigroup

Xicheng Zhang

doi:10.1016/j.jmaa.2005.12.001

A note on the gradient of heat semigroup

Xicheng Zhang^*

^*此作品的通讯作者

Huazhong University of Science and Technology

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

A new representation for the gradient of heat semigroup on Riemannian manifold is given by using the integration by parts formula on Wiener space, which reflects in some sense the asymptotic property of Brownian motion.

源语言	英语
页（从-至）	1479-1482
页数	4
期刊	Journal of Mathematical Analysis and Applications
卷	323
期	2
DOI	https://doi.org/10.1016/j.jmaa.2005.12.001
出版状态	已出版 - 15 11月 2006
已对外发布	是

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10.1016/j.jmaa.2005.12.001

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title = "A note on the gradient of heat semigroup",

abstract = "A new representation for the gradient of heat semigroup on Riemannian manifold is given by using the integration by parts formula on Wiener space, which reflects in some sense the asymptotic property of Brownian motion.",

keywords = "Brownian motion, Heat semigroup, Integration by parts formula",

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A note on the gradient of heat semigroup

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