Article
Null controllability of the heat equation with boundary Fourier conditions: the linear case
Author/s | Fernández Cara, Enrique
González Burgos, Manuel Guerrero Rodríguez, Sergio Puel, Jean-Pierre |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2006-07 |
Deposit Date | 2016-05-20 |
Published in |
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Abstract | In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary conditions of the form ∂y
∂n + β y = 0. We consider distributed controls with support in a small ... In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary conditions of the form ∂y ∂n + β y = 0. We consider distributed controls with support in a small set and nonregular coefficients β = β(x, t). For the proof of null controllability, a crucial tool will be a new Carleman estimate for the weak solutions of the classical heat equation with nonhomogeneous Neumann boundary conditions. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España |
Project ID. | BFM2003–06446 |
Citation | Fernández Cara, E., González Burgos, M., Guerrero, S. y Puel, J. (2006). Null controllability of the heat equation with boundary Fourier conditions the linear case. ESAIM: Control, Optimisation and Calculus of Variations, 12 (3), 442-465. |
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