Recent results on stabilization of PDEs by noise

This paper is intended to be a brief review on some recent results on the stabilization effect produced by noise in phenomena modelled by partial differential equations. We emphasyse the different effects that distinct interpretations of the noise may cause on the same system, and we focus on two cl...

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Detalhes bibliográficos
Autor: Caraballo Garrido, Tomás
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/41133
Acesso em linha:http://hdl.handle.net/11441/41133
Access Level:acceso abierto
Palavra-chave:exponential stability stabilization Ito’s noise Stratonovich’s noise stochastic PDE
Descrição
Resumo:This paper is intended to be a brief review on some recent results on the stabilization effect produced by noise in phenomena modelled by partial differential equations. We emphasyse the different effects that distinct interpretations of the noise may cause on the same system, and we focus on two classical and canonical interpretations (Itò versus Stratonovich). Finally, we comment on some open problems.