Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative Noise

In this paper, we consider a stochastic lattice di®erential equation with di®usive nearest neighbor interaction, a dissipative nonlinear reaction term, and a multiplicative white noise at each node. We prove the existence of a compact global random attractor which pulled back attracts tempered rando...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Lu, Kening
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23654
Acceso en línea:http://hdl.handle.net/11441/23654
https://doi.org/10.1007/s11464-008-0028-7
Access Level:acceso abierto
Palabra clave:Stochastic lattice di®erential equations
random attractors
multiplicative noise
Descripción
Sumario:In this paper, we consider a stochastic lattice di®erential equation with di®usive nearest neighbor interaction, a dissipative nonlinear reaction term, and a multiplicative white noise at each node. We prove the existence of a compact global random attractor which pulled back attracts tempered random bounded sets.