Variational approximation for Fokker-Planck equation on Riemannian manifold

Xicheng Zhang

doi:10.1007/s00440-006-0001-x

Variational approximation for Fokker-Planck equation on Riemannian manifold

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

3 引用（Scopus）

摘要

Under the bounded geometry assumption on Riemannian manifold M, a variational approximation for Fokker-Planck equation on M is constructed by the scheme of Jordan et al. in SIAM J Math Anal 29(1):1-17, 1998. Moreover, the uniqueness and global L ^p -estimate of the solution for 1 < p < dim(M)/(dim(M) - 1) are obtained for a broad class of potential.

源语言	英语
页（从-至）	519-539
页数	21
期刊	Probability Theory and Related Fields
卷	137
期	3-4
DOI	https://doi.org/10.1007/s00440-006-0001-x
出版状态	已出版 - 3月 2007
已对外发布	是

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KW - Fokker-Planck equation

KW - Free energy

KW - Gradient flow

KW - Heat kernel

KW - Wasserstein metric

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Variational approximation for Fokker-Planck equation on Riemannian manifold

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