Differential and Integral Equations

Measure attractor for a stochastic Klein-Gordon-Schrödinger type system

M.N. Poulou and N.B. Zographopoulos

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


In this paper, we study the long time behavior in the distribution sense of solutions for a stochastic Klein-Gordon-Schrödinger type system, which is defined in a unbounded domain. The existence of one stationary measure from any moment-finite initial data in the space $H^{1}(\mathbb{R})\times H^{1}(\mathbb{R})\times L^{2}(\mathbb{R})$ is proven and then a global measure attractor is constructed consisting of probability measures supported on $H^{2}(\mathbb{R})\times H^{2}(\mathbb{R})\times H^{1}(\mathbb{R}). $

Article information

Differential Integral Equations, Volume 27, Number 5/6 (2014), 489-510.

First available in Project Euclid: 3 April 2014

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60F10: Large deviations 60H15: Stochastic partial differential equations [See also 35R60]


Poulou, M.N.; Zographopoulos, N.B. Measure attractor for a stochastic Klein-Gordon-Schrödinger type system. Differential Integral Equations 27 (2014), no. 5/6, 489--510. https://projecteuclid.org/euclid.die/1396558094

Export citation