Eleni Bisognin, Vanilde Bisognin, Octavio Paulo Vera Villagran
Abstract:
We study the stabilization of solutions to higher-order
nonlinear Schrodinger equations in a bounded interval under
the effect of a localized damping mechanism. We use multiplier
techniques to obtain exponential decay in time of the solutions of
the linear and nonlinear equations.
Submitted August 2, 2006. Published January 2, 2007.
Math Subject Classifications: 35K60, 93C20.
Key Words: Higher order nonlinear Schrodinger equation;
stabilization; localized damping.
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Eleni Bisognin Centro Universitário Franciscano-UNIFRA Rua dos Andrade 1614, CEP: 97010-032 Santa Maria, R. S., Brasil email: eleni@unifra.br |
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Vanilde Bisognin Centro Universitário Franciscano-UNIFRA Rua dos Andrade 1614, CEP: 97010-032 Santa Maria, R. S., Brasil email: vanilde@unifra.br |
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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 |
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