Qualitative behavior of a class of stochastic parabolic PDES with dynamical boundary conditions

被引:0
|
作者
Chueshov, Igor [1 ]
Schmalfuss, Bjoern
机构
[1] Kharkov Natl Univ, Dept Mech & Math, UA-61077 Kharkov, Ukraine
[2] Univ Paderborn, Math Inst, D-33098 Paderborn, Germany
关键词
stochastic PDE; dynamical boundary conditions; random dynamical systems; pullback attractor; monotonicity;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider non-linear parabolic stochastic partial differential equations with dynamical boundary conditions and with a noise which acts in the domain but also on the boundary and is presented by the temporal generalized derivative of an infinite dimensional Wiener process. We prove that solutions to this stochastic partial differential equation generate a random dynamical system. Under additional conditions we show that this system is monotone. Our main result states the existence of a compact global (pullback) attractor.
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页码:315 / 338
页数:24
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