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Stabilization of the linear Kawahara equation with localized damping

2008; IOS Press; Volume: 58; Issue: 4 Linguagem: Inglês

10.3233/asy-2008-0895

1875-8576

Carlos Frederico Vasconcellos, Patrícia Nunes da Silva,

Nonlinear Photonic Systems

We study the stabilization of global solutions of the linear Kawahara (K) equation in a bounded interval under the effect of a localized damping mechanism. The Kawahara equation is a model for small amplitude long waves. Using multiplier techniques a