Transportation Cost-information Inequalities for Stochastic Heat Equations Driven by Fractional Noise  

分数噪声驱动的随机热方程的运费不等式

作　　者：ZHANG Bin YAO Zhigang LIU Junfeng 张斌;姚志刚;刘俊峰(南京审计大学统计与数据科学学院,江苏南京211815)

机构地区：[1]School of Statistics and Data Science,Nanjing Audit University,Nanjing,Jiangsu,211815,P.R.China

出　　处：《数学进展》2025年第1期212-224,共13页Advances in Mathematics(China)

基　　金：Partially supported by Postgraduate Research and Practice Innovation Program of Jiangsu Province(Nos.KYCX22-2211,KYCX22-2205)。

摘　　要：In this paper,we prove the transportation cost-information inequalities on the space of continuous paths with respect to the L~2-metric and the uniform metric for the law of the mild solution to the stochastic heat equation defined on[0,T]×[0,1]driven by double-parameter fractional noise.本文主要研究[0,T]×[0,1]上一类由双参数分数噪声驱动的随机热方程,证明了此类方程的mild解在连续轨道空间关于L^(2)-度量和一致度量均满足运费不等式.

关 键 词：transportation cost-information inequality stochastic heat equation fractional noise 

分 类 号：O211.63[理学—概率论与数理统计]