Article
Local Null Controllability of a Free-Boundary Problem for the Semilinear 1D Heat Equation
Author/s | Fernández Cara, Enrique
Sousa, Ivaldo Tributino de |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2016-08-15 |
Deposit Date | 2022-11-11 |
Published in |
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Abstract | 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. |
Citation | 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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