On the controllability of a free-boundary problem for the 1D heat equation
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 driv...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/47448 |
| Acceso en línea: | http://hdl.handle.net/11441/47448 https://doi.org/10.1016/j.sysconle.2015.10.011 |
| Access Level: | acceso abierto |
| Palabra clave: | Null controllability Free-boundary problems 1D heat equation Carleman estimates |
| Sumario: | 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. |
|---|