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Article Dans Une Revue Communications in Contemporary Mathematics Année : 2006

Global steady-state stabilization and controllability of 1-D semilinear wave equations

Jean-Michel Coron
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Résumé

This paper is concerned with the exact boundary controllability of semilinear wave equations in one space dimension. We prove that it is possible to move from any steady-state to any other one by means of a boundary control, provided that they are in the same connected component of the set of steady-states. The proof is based on an expansion of the solution in a one-parameter Riesz basis of generalized eigenvectors, and on an effective feedback stabilization procedure which is implemented.
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Dates et versions

hal-00086370 , version 1 (18-07-2006)

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  • HAL Id : hal-00086370 , version 1

Citer

Jean-Michel Coron, Emmanuel Trélat. Global steady-state stabilization and controllability of 1-D semilinear wave equations. Communications in Contemporary Mathematics, 2006, 8 (4), pp.535--567. ⟨hal-00086370⟩
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