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Local null controllability of a 1D Stefan problem


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Opened Access Local null controllability of a 1D Stefan problem

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Author: Fernández Cara, Enrique
Hernández, Freddy
Limaco Ferrel, Juan
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2018
Published in: Bulletin of the Brazilian Mathematical Society, New Series, 1-25.
Document type: Article
Abstract: 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.
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DOI: 10.1007/s00574-018-0093-9

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