Article
Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
Author/s | Caraballo Garrido, Tomás
Morillas, F. Valero, J. |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2012-04-16 |
Deposit Date | 2022-11-03 |
Published in |
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Abstract | In this paper we study the asymptotic behavior of solutions of a
first-order stochastic lattice dynamical system with a multiplicative
noise.
We do not assume any Lipschitz condition on the nonlinear term,
just a ... In this paper we study the asymptotic behavior of solutions of a first-order stochastic lattice dynamical system with a multiplicative 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 |
Citation | Caraballo Garrido, T., Morillas, F. y Valero, J. (2012). Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Journal of Differential Equations, 253 (2), 667-693. https://doi.org/10.1016/j.jde.2012.03.020. |
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