Energy decay for the modified Kawahara equation posed in a bounded domain
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Control and Stabilization of the Kawahara Equation on a Periodic Domain
In this paper, we study a class of distributed parameter control system described by the Kawahara equation posed on a periodic domain T (a unit circle in the plane) with an internal control acting on an arbitrary small nonempty subdomain of T. Aided by the Bourgain smoothing property of the Kawahara equation on a periodic domain, we show that the system is locally exactly controllable and expon...
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