Random attractors for stochastic lattice systems with non-Lipschitz non-linearity

Autor:	Caraballo Garrido, Tomás, Morillas Jurado, Francisco, Valero Cuadra, José
Přispěvatelé:	Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Rok vydání:	2012
Předmět:	Stochastic lattice dynamical systems random attractor set-valued dynamical system
Zdroj:	idUS. Depósito de Investigación de la Universidad de Sevilla instname
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::08b727a48c39282a68c9b1552624df94 https://idus.us.es/handle/11441/23708 Zobrazit plný text záznamu