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^*

^*Corresponding author for this work

Huazhong University of Science and Technology

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1479-1482
Number of pages	4
Journal	Journal of Mathematical Analysis and Applications
Volume	323
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2005.12.001
Publication status	Published - 15 Nov 2006
Externally published	Yes

Keywords

Brownian motion
Heat semigroup
Integration by parts formula

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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",

author = "Xicheng Zhang",

year = "2006",

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A note on the gradient of heat semigroup

Abstract

Keywords

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