Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
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 uniquene...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/138663 |
| Acceso en línea: | https://hdl.handle.net/11441/138663 https://doi.org/10.1016/j.jde.2012.03.020 |
| Access Level: | acceso abierto |
| Palabra clave: | Stochastic lattice differential equations Random attractors Multiplicative noise Set-valued dynamical system |
| Sumario: | 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 |
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