The mild and weak solutions of a stochastic parabolic Anderson equation

被引：2

作者：

Miao, Lijun ^{[1
,2
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China

[2] Baicheng Normal Univ, Dept Math, Baicheng 137000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 423卷 / 02期

关键词：

Brownian motion; Gaussian potential; Mild solution; Weak solution; BROWNIAN-MOTION; ASYMPTOTICS; MODEL;

D O I：

10.1016/j.jmaa.2014.09.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of the solutions to the stochastic parabolic Anderson equation with Gaussian potential and perturbed by external force that driven by classical Brownian motion. We show the sufficient conditions that the shape function must satisfy for the existence of the mild solution and weak solution to this type of equation. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：863 / 876

页数：14

共 17 条

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