Stabilization of the Kawahara Equation with Localized Damping
نویسندگان
چکیده
We study the stabilization of global solutions of the 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 and compactness arguments we prove the exponential decay of the solutions of the (K) model. The proof requires of a unique continuation theorem and the smoothing effect of the (K) equation on the real line, which are proved in this work. Mathematics Subject Classification. 35Q35, 35B40, 35Q53. Received September 8, 2008. Revised January 27, 2009. Published online October 30, 2009.
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