Dissipation enhancement by transport noise for stochastic p-Laplace equations

被引：0
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作者：
Zhao Dong
Dejun Luo
Bin Tang
机构：
[1] Chinese Academy of Sciences,Key Laboratory of RCSDS, Academy of Mathematics and Systems Science
[2] University of Chinese Academy of Sciences,School of Mathematical Sciences
来源：
Nonlinear Differential Equations and Applications NoDEA | 2023年 / 30卷
关键词：
-Laplace operator; Transport noise; Dissipation enhancement; Semigroup approach; Primary 60H15; Secondary 60H50;
D O I：
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学科分类号：
摘要：
The stochastic p-Laplace equation with multiplicative transport noise is studied on the torus Td(d≥2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {T}^d\, (d\ge 2)$$\end{document}. It is shown that the dissipation is enhanced by transport noise in both the averaged sense and the pathwise sense.
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