Initial boundary value problem and asymptotic stabilization of the Camassa–Holm equation on an interval

We investigate the nonhomogeneous initial boundary value problem for the Camassa–Holm equation on an interval. We provide a local in time existence theorem and a weak-strong uniqueness result. Next we establish a result on the global asymptotic stabilization problem by means of a boundary feedback law. © 2010 Elsevier Inc. All rights reserved.