Local null controllability of a 1D Stefan problem

The purpose of this article is to give a new proof of a null controllability result for a 1D free-boundary problem of the Stefan kind for a heat PDE. We introduce a method based on local inversion that, in contrast with other previous arguments, does not rely on any compactness property and can be g...

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Detalles Bibliográficos
Autores: Fernández Cara, Enrique, Hernández, Freddy, Limaco Ferrel, Juan
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2018
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/79256
Acceso en línea:https://hdl.handle.net/11441/79256
https://doi.org/10.1007/s00574-018-0093-9
Access Level:acceso abierto
Palabra clave:Null controllability
Free-boundary problems
1D heat equation
Carleman estimates
Descripción
Sumario:The purpose of this article is to give a new proof of a null controllability result for a 1D free-boundary problem of the Stefan kind for a heat PDE. We introduce a method based on local inversion that, in contrast with other previous arguments, does not rely on any compactness property and can be generalized to higher dimensions.