Article
On the controllability of a free-boundary problem for the 1D heat equation
Author/s | Fernández Cara, Enrique
Limaco Ferrel, Juan Dias Bezerra de Menezes, Silvano |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2016-01 |
Deposit Date | 2016-10-13 |
Published in |
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Abstract | This paper deals with the local null control of a free-boundary problem for the classical 1D heat equation with distributed controls, locally supported in space. In the main result we prove that, if the final time T is ... This paper deals with the local null control of a free-boundary problem for the classical 1D heat equation with distributed controls, locally supported in space. In the main result we prove that, if the final time T is fixed and the initial state is sufficiently small, there exist controls that drive the state exactly to rest at time t = T. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España Coordenação de Aperfeiçoamento de Pessoal de Nivel Superior. Brasil |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2013-41286-P |
Citation | Fernández Cara, E., Limaco Ferrel, J. y Dias Bezerra de Menezes, S. (2016). On the controllability of a free-boundary problem for the 1D heat equation. Systems and Control Letters, 87, 29-35. |
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