Exact boundary controllability of a nonlinear KdV equation with critical lengths

Abstract : We study the boundary controllability of a nonlinear Korteweg-de Vries equation with the Dirichlet boundary condition on an interval with a critical length for which it has been shown by Rosier that the linearized control system around the origin is not controllable. We prove that the nonlinear term gives the local controllability around the origin
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[Research Report] RR-5000, INRIA. 2003
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Soumis le : lundi 29 mai 2006 - 11:57:52
Dernière modification le : vendredi 25 mai 2018 - 12:02:05
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Jean-Michel Coron, Emmanuelle Crépeau. Exact boundary controllability of a nonlinear KdV equation with critical lengths. [Research Report] RR-5000, INRIA. 2003. 〈inria-00077038〉

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