Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds

DOI10.1007/s40072-022-00241-1zbMath1526.58012arXiv2110.05131OpenAlexW4299646495WikidataQ113898899 ScholiaQ113898899MaRDI QIDQ6116911

Li-Juan Cheng, Qingqian Chen, Anton Thalmaier

Publication date: 18 July 2023

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.05131

zbMATH Keywords

Riemannian manifoldharmonic functionheat semigroupHessian estimate

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65)

Cites Work

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• Doubly damped stochastic parallel translations and Hessian formulas
• Derivatives of Feynman-Kac semigroups
• Gradient estimates for heat kernels and harmonic functions
• Analysis for Diffusion Processes on Riemannian Manifolds
• Harmonic functions on complete riemannian manifolds
• On the differentiation of heat semigroups and poisson integrals
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