Hyperbolic Type Stochastic Evolution Equations with Levy Noise

被引：1

作者：

Fu, Hongbo ^{[1
]}

Liu, Jicheng ^{[2
]}

Wan, Li ^{[1
]}

机构：

[1] Wuhan Text Univ, Coll Math & Comp Sci, Wuhan 430073, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2013年 / 125卷 / 01期

关键词：

Hyperbolic type stochastic evolution equations; Compensated Poisson random measure; Energy equality; WAVE-EQUATIONS; DRIVEN;

D O I：

10.1007/s10440-012-9787-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and uniqueness of the solutions for a class of hyperbolic type stochastic evolution equations driven by some non-Gaussian L,vy processes are obtained. Moreover, an energy equality for the solutions of the equations is established. As examples, theses results are applied to a couple of stochastic wave type equations with jumps.

引用

页码：193 / 208

页数：16

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