Uniform null controllability of a linear KdV equation using two controls |
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Authors: | N Carreño S Guerrero |
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Institution: | 1. Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile;2. Université Pierre et Marie Curie, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005, Paris, France |
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Abstract: | In this paper we consider a linear KdV equation posed on a bounded interval. We study the behavior of the cost of null controllability when two boundary controls are employed. By means of suitable Carleman inequalities and a new exponential dissipation estimate, we prove that uniform null controllability with respect to the dispersion coefficient holds, contrary to the case when one control is used at the left end-point of the interval. |
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Keywords: | Uniform controllability Boundary controls Vanishing dispersion limit Carleman inequalities |
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