Artículo
Local Null Controllability of a Free-Boundary Problem for the Semilinear 1D Heat Equation
Autor/es | Fernández Cara, Enrique
Sousa, Ivaldo Tributino de |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2016-08-15 |
Fecha de depósito | 2022-11-11 |
Publicado en |
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Resumen | This paper deals with the local null control of a free-boundary problem for the 1D semilinear heat equation with distributed controls (locally supported in space) or boundary controls (acting at x=0). In the main result ... This paper deals with the local null control of a free-boundary problem for the 1D semilinear heat equation with distributed controls (locally supported in space) or boundary controls (acting at x=0). In the main result we prove that, if the final time T is fixed and the initial state is sufficiently small, there exists controls that drive the state exactly to rest at time t=T. |
Cita | Fernández Cara, E. y Sousa, I.T.d. (2016). Local Null Controllability of a Free-Boundary Problem for the Semilinear 1D Heat Equation. Bulletin of the Brazilian Mathematical Society, 48 (2), 303-315. https://doi.org/10.1007/s00574-016-0001-0. |
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