Control and stabilization of the periodic fifth order Korteweg-de Vries equation
Control and stabilization of the periodic fifth order Korteweg-de Vries equation
We establish local exact control and local exponential stability of periodic solutions of fifth order Korteweg-de Vries type equations in H s (𝕋), s > 2. A dissipative term is incorporated into the control which, along with a propagation of regularity property, yields a smoothing effect permitting the application of …