Existence of global mild and strong solutions to stochastic hyperbolic evolution equations driven by a spatially homogeneous Wiener process

被引：30

作者：

Ondreját, M ^{[1
]}

机构：

[1] Univ Nancy 1, Inst Elie Cartan, F-54506 Vandoeuvre Les Nancy, France

[2] Math Inst, Prague 11567 1, Czech Republic

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2004年 / 4卷 / 02期

关键词：

stochastic hyperbolic equations; homogeneous Wiener process;

D O I：

10.1007/s00028-003-0130-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Semilinear second order stochastic hyperbolic equations driven by a spatially homogeneous Wiener process are studied. Sufficient conditions in terms of Lyapunov functions for the equation to have global mild or strong solutions are found. In particular, the results apply to equations with polynomial drift and diffusion coefficients.

引用

页码：169 / 191

页数：23

共 50 条

[31] Existence and Uniqueness of Pseudo Almost Automorphic Mild Solutions to Some Classes of Partial Hyperbolic Evolution Equations
Hu, Zhanrong
Jin, Zhen
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2008, 2008
[32] EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS FOR NONLOCAL EVOLUTION EQUATIONS
Chen, Pengyu
Li, Yongxiang
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[33] Global Existence of Solutions for Stochastic Impulsive Differential Equations
Shen, Li Juan
Sun, Ji Tao
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (04) : 773 - 780
[34] Global existence of solutions for stochastic impulsive differential equations
Li Juan Shen
Ji Tao Sun
Acta Mathematica Sinica, English Series, 2011, 27 : 773 - 780
[35] The Existence of Mild Solutions for Hilfer Fractional Stochastic Evolution Equations with Order μ ∈ (1,2)
Li, Qien
Zhou, Yong
FRACTAL AND FRACTIONAL, 2023, 7 (07)
[36] Existence and uniqueness of solutions for delay stochastic evolution equations
Caraballo, T
Garrido-Atienza, MJ
Real, J
STOCHASTIC ANALYSIS AND APPLICATIONS, 2002, 20 (06) : 1225 - 1256
[37] EXISTENCE OF STRONG SOLUTIONS FOR STOCHASTIC DIFFERENTIAL-EQUATIONS IN THE PLANE
YEH, J
PACIFIC JOURNAL OF MATHEMATICS, 1981, 97 (01) : 217 - 247
[38] On the existence of strong solutions of linear stochastic differential equations in R∞
Mednitskii, YV
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1998, 42 (04) : 702 - 706
[39] ON UNIQUENESS OF MILD SOLUTIONS FOR DISSIPATIVE STOCHASTIC EVOLUTION EQUATIONS
Marinelli, Carlo
Roeckner, Michael
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2010, 13 (03) : 363 - 376
[40] On the Positivity of Local Mild Solutions to Stochastic Evolution Equations
Marinelli, Carlo
Scarpa, Luca
Marinelli, Carlo (c.marinelli@ucl.ac.uk), 2021, Springer (378): : 231 - 245

← 1 2 3 4 5 →