分数噪声驱动的随机热方程解的局部时  

Local Times of the Solution to Stochastic Heat Equation with Fractional Noise

作　　者：王志[1] 闫理坦[2] 余显烨 Zhi Wang;Litan Yan;Xianye Yu(School of Sciences, Ningbo University of Technology, Zhejiang Ningbo 315211;Department of Mathematics, College of Science, Donghua University, Shanghai 201620;School of Mathematics, Sun Yat-sen University, Guangzhou 510275)

机构地区：[1]宁波工程学院理学院,浙江宁波315211 [2]东华大学理学院,上海201620 [3]中山大学数学学院,广州510275

出　　处：《数学物理学报（A辑）》2019年第3期582-595,共14页Acta Mathematica Scientia

基　　金：国家自然科学基金(11701304,11571071,11701589);浙江省自然科学基金(LQ16A010006);中央高校基本科研业务费(171gpy17)~~

摘　　要：该文研究了可加分数噪声驱动的随机热方程解的碰撞局部时和相交局部时.运用局部非确定性和混沌分解等方法得到它们的存在性和光滑性.In this paper, we study the collision and intersection local times of the solution to stochastic heat equation with additive fractional noise. We mainly prove its existence and smoothness properties through local nondeterminism and chaos expansion.

关 键 词：随机热方程 分数噪声 碰撞局部时 相交局部时 混沌分解 

分 类 号：O211.6[理学—概率论与数理统计]