Harnack inequalities for stochastic heat equation with locally unbounded drift
type: Item
instance of: scholarly article
title: Harnack inequalities for stochastic heat equation with locally unbounded drift
zbMATH Open document ID: 1453.60126
author: Xiuwei Yin
author: Guangjun Shen
author: Jinhong Zhang
published in: Statistics \& Probability Letters
publication date: 2020-10-12T00:00:00Z
review text: This paper is concerned with the Harnack inequalities for the stochastic heat equation with the Neumann boundary condition and the additive white noise in one dimension. For the corresponding Markov operator, the authors first prove the Harnack inequality, based on the coupling by change of measure and Krylov's estimate. Then they prove the shift (log-)Harnack inequality. Moreover, the application to the equivalence between the corresponding distributions of solutions is also obtained.
reviewed by: Deng Zhang
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 65C30
zbMATH DE Number: 7259035
zbMATH Keywords: stochastic heat equation
zbMATH Keywords: Harnack inequality
zbMATH Keywords: shift Harnack inequality
MaRDI profile type: Publication
full work available at URL: j.spl.2020.108790
OpenAlex ID: W3020275301
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DOI: 10.1016/J.SPL.2020.108790
description: scientific article; zbMATH DE number 7259035