Article
Random attractors for stochastic lattice systems with non-Lipschitz non-linearity
Author/s | Caraballo Garrido, Tomás
Morillas Jurado, Francisco Valero Cuadra, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2012 |
Deposit Date | 2015-04-08 |
Published in |
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Abstract | 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 ... 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. |
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