Electron. J. Diff. Eqns., Vol. 2005(2005), No. 122, pp. 1-31.

Exact boundary controllability for higher order nonlinear Schrodinger equations with constant coefficients

Juan Carlos Ceballos V., Ricardo Pavez F., Octavio Paulo Vera V.

Abstract:
The exact boundary controllability of the higher order nonlinear Schrodinger equation with constant coefficients on a bounded domain with various boundary conditions is studied. We derive the exact boundary controllability for this equation for sufficiently small initial and final states.

Submitted January 20, 2005. Published October 31, 2005.
Math Subject Classifications: 35K60, 93C20.
Key Words: KdVK equation; boundary control; Hilbert uniqueness method; Ingham's inequality; smoothing properties.

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Juan Carlos Ceballos V.
Departamento de Matemática, Universidad del Bío-Bío
Collao 1202, Casilla 5-C, Concepción, Chile
email: jceballo@ubiobio.cl   Fax 56-41-731018
Ricardo Pavez F.
Departamento de Matemática, Universidad del Bío-Bío
Collao 1202, Casilla 5-C, Concepción, Chile
email: rpavez@ubiobio.cl   Fax 56-41-731018
Octavio Paulo Vera Villagrán
Departamento de Matemática, Universidad del Bío-Bío
Collao 1202, Casilla 5-C, Concepción, Chile
email: overa@ubiobio.cl   octavipaulov@yahoo.com   Fax 56-41-731018

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