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

[1] Hyperbolic Type Stochastic Evolution Equations with Lévy Noise
Hongbo Fu
Jicheng Liu
Li Wan
Acta Applicandae Mathematicae, 2013, 125 : 193 - 208
[2] FRACTIONAL STOCHASTIC EVOLUTION EQUATIONS WITH LEVY NOISE
Bonaccorsi, Stefano
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2009, 22 (11-12) : 1141 - 1152
[3] Stochastic evolution equations with Levy noise in the dual of a nuclear space
Fonseca-Mora, C. A.
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2024, 12 (01): : 173 - 219
[4] OPTIMAL RELAXED CONTROL OF STOCHASTIC HEREDITARY EVOLUTION EQUATIONS WITH LEVY NOISE
Manna, Utpal
Mukherjee, Debopriya
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2019, 25
[5] The Averaging Principle for Hilfer Fractional Stochastic Evolution Equations with Levy Noise
Yang, Min
Lv, Ting
Wang, Qiru
FRACTAL AND FRACTIONAL, 2023, 7 (10)
[6] On the Impact of Noise on Hyperbolic-Type Traveling Wave Solutions of Some Stochastic Evolution Equations
Taskesen, Hatice
Alaloush, Mohanad
FLUCTUATION AND NOISE LETTERS, 2022, 21 (06):
[7] NONLINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS OF HYPERBOLIC TYPE DRIVEN BY LEVY-TYPE NOISES
Zhu, Jiahui
Brzezniak, Zdzislaw
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 21 (09): : 3269 - 3299
[8] Stability of Stochastic Differential Equations with Levy Noise
Zhu Quanxin
2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 5211 - 5216
[9] Nonlinear stochastic equations with multiplicative Levy noise
Srokowski, Tomasz
PHYSICAL REVIEW E, 2010, 81 (05):
[10] CONTINUOUS DEPENDENCE ON COEFFICIENTS FOR STOCHASTIC EVOLUTION EQUATIONS WITH MULTIPLICATIVE LEVY NOISE AND MONOTONE NONLINEARITY
Salavati, E.
Zangeneh, B. Z.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (01): : 175 - 194

← 1 2 3 4 5 →