One-dimensional stochastic Burgers equation driven by Levy processes

被引：61

作者：

Dong, Z. ^{[1
]}

Xu, T. G. ^{[1
]}

机构：

[1] Acad Sinica, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2007年 / 243卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Burgers equation; Levy process; Q-Wiener process; strong solution; weak solution; mild solution; invariant measure;

D O I：

10.1016/j.jfa.2006.09.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we proved the global existence and uniqueness of the strong, weak and mild solutions for one-dimensional Burgers equation perturbed by a Poisson form process, a Poisson form and Q-Wiener process with the Dirichlet bounded condition. We also proved the existence of the invariant measure of these models. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：631 / 678

页数：48

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