Global Attractor for a Generalized Discrete Nonlinear Schrödinger Equation

A generalized discrete nonlinear Schrödinger equation (Formula presented.) with long-range interactions in weighted spaces (Formula presented.) is considered. Under suitable assumptions on the coupling constants J(m), the damping γ and the weight (Formula presented.), the existence of a global att...

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Detalles Bibliográficos
Autor: Pereira, J.M.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2014
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/209
Acceso en línea:http://hdl.handle.net/20.500.11824/209
Access Level:acceso abierto
Palabra clave:Coupling constants
Dinger equation
Global attractor
Localized solutions
Long range interactions
Weighted space
Nonlinear equations
Descripción
Sumario:A generalized discrete nonlinear Schrödinger equation (Formula presented.) with long-range interactions in weighted spaces (Formula presented.) is considered. Under suitable assumptions on the coupling constants J(m), the damping γ and the weight (Formula presented.), the existence of a global attractor is proved.