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

共 50 条

[31] Stochastic evolution equations with multiplicative noise
Levajkovic, Tijana
Pilipovic, Stevan
Selesi, Dora
Zigic, Milica
ELECTRONIC JOURNAL OF PROBABILITY, 2015, 20 : 1 - 23
[32] Governing equations for probability densities of Marcus stochastic differential equations with Levy noise
Sun, Xu
Li, Xiaofan
Zheng, Yayun
STOCHASTICS AND DYNAMICS, 2017, 17 (05)
[33] Stochastic evolution equations with Volterra noise
Coupek, P.
Maslowski, B.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2017, 127 (03) : 877 - 900
[34] A white noise approach to stochastic partial differential equations driven by the fractional Levy noise
Lu, Xuebin
Dai, Wanyang
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[35] Homogenization of nonlocal partial differential equations related to stochastic differential equations with Levy noise
Huang, Qiao
Duan, Jinqiao
Song, Renming
BERNOULLI, 2022, 28 (03) : 1648 - 1674
[36] EXPLOSIVE SOLUTIONS OF PARABOLIC STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH LEVY NOISE
Li, Kexue
Peng, Jigen
Jia, Junxiong
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (10) : 5105 - 5125
[37] Stochastic hydrodynamic-type evolution equations driven by Levy noise in 3D unbounded domains-Abstract framework and applications
Motyl, Elzbieta
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2014, 124 (06) : 2052 - 2097
[38] Large deviation principle for stochastic Boussinesq equations driven by Levy noise
Zheng, Yan
Huang, Jianhua
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 439 (02) : 523 - 550
[39] Almost automorphic solutions for stochastic differential equations driven by Levy noise
Liu, Zhenxin
Sun, Kai
JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 266 (03) : 1115 - 1149
[40] Asymptotic stability in the pth moment for stochastic differential equations with Levy noise
Zhu, Quanxin
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 416 (01) : 126 - 142

← 1 2 3 4 5 →