Variational solutions of dissipative jump-type stochastic evolution equations

被引：4

作者：

Bo, Lijun ^{[2
]}

Shi, Kehua ^{[1
]}

Wang, Yongjin ^{[3
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Xidian Univ, Dept Math, Xian 710071, Peoples R China

[3] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 373卷 / 01期

关键词：

Variational solutions; Dissipative stochastic evolution equations; Levy noise; Invariant measure; Invariant set;

D O I：

10.1016/j.jmaa.2010.06.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with existence and uniqueness of variational solutions to a class of dissipative stochastic evolution equations driven by general Levy processes. Furthermore, we prove existence and uniqueness of the invariant measure and the existence of an invariant set associated with the solutions under mild conditions, respectively. (c) 2010 Elsevier Inc. All rights reserved.

引用

页码：111 / 126

页数：16

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