Exact boundary controllability of a nonlinear KdV equation with critical lengths
Open Access
- 30 September 2004
- journal article
- Published by European Mathematical Society - EMS - Publishing House GmbH in Journal of the European Mathematical Society
- Vol. 6 (3) , 367-398
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.Keywords
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