NONLINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS OF HYPERBOLIC TYPE DRIVEN BY LEVY-TYPE NOISES

被引：6

作者：

Zhu, Jiahui ^{[1
]}

Brzezniak, Zdzislaw ^{[2
]}

机构：

[1] Zhejiang Univ Technol, Sch Sci, 288 Liuhe Rd, Hangzhou 310023, Zhejiang, Peoples R China

[2] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 09期

关键词：

INVARIANT-MEASURES; BANACH-SPACES; COEFFICIENTS; EXISTENCE;

D O I：

10.3934/dcdsb.2016097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of abstract nonlinear stochastic equations of hyperbolic type driven by jump noises, which covers both beam equations with nonlocal, nonlinear terms and nonlinear wave equations. We derive an It (o) over cap formula for the local mild solution which plays an important role in the proof of our main results. Under appropriate conditions, we prove the non-explosion and the asymptotic stability of the mild solution.

引用

页码：3269 / 3299

页数：31

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