6533b7dafe1ef96bd126dda7
RESEARCH PRODUCT
Random attractors for stochastic lattice systems with non-Lipschitz non-linearity
Tomás Caraballo GarridoFrancisco Morillas JuradoJosé Valero Cuadrasubject
Stochastic lattice dynamical systemsrandom attractorset-valued dynamical systemdescription
In this paper we study the asymptotic behaviour of solutions of a first-order stochastic lattice dynamical system with an additive noise. We do not assume any Lipschitz condition on the nonlinear term, just a continuity assumption together with growth and dissipative conditions, so that uniqueness of the Cauchy problem fails to be true. Using the theory of multi-valued random dynamical systems we prove the existence of a random compact global attractor.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-01-01 |