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

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