Stabilisation of differential inclusions and PDEs without uniqueness by noise
We prove that the asymptotic behaviour of partial differential inclusions and partial differential equations without uniqueness of solutions can be stabilised by adding some suitable Itˆo noise as an external perturbation. We show how the theory previously developed for the single-valued cases can b...
| Autores: | , , |
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| 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:11441/23710 |
| Acceso en línea: | http://hdl.handle.net/11441/23710 https://doi.org/10.3934/cpaa.2008.7.1375 |
| Access Level: | acceso abierto |
| Palabra clave: | Multivalued semiflows stabilization by Ito's noise random dynamical systems |
| Sumario: | We prove that the asymptotic behaviour of partial differential inclusions and partial differential equations without uniqueness of solutions can be stabilised by adding some suitable Itˆo noise as an external perturbation. We show how the theory previously developed for the single-valued cases can be successfully applied to handle these set-valued cases. The theory of random dynamical systems is used as an appropriate tool to solve the problem. |
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