Exact boundary controllability of a nonlinear KdV equation with critical lengths | Zendy

JeanMichel Coron | Zendy; Emmanuelle Crépeau | Zendy

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Exact boundary controllability of a nonlinear KdV equation with critical lengths

Author(s) -

JeanMichel Coron,

Emmanuelle Crépeau

Publication year - 2004

Publication title -

journal of the european mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.549

H-Index - 64

eISSN - 1435-9863

pISSN - 1435-9855

DOI - 10.4171/jems/13

Subject(s) - mathematics , korteweg–de vries equation , controllability , nonlinear system , boundary (topology) , mathematical analysis , physics , quantum mechanics

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 Key-words: Exact boundary controllability, Korteweg-de Vries, nonlinear equation, missed directions Université de Paris-Sud Laboratoire ANEDP, Mathématique, UMR 8628, Bât. 425, 91405 Orsay cedex, France

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