EVENTO
Decay estimates for the Korteweg-de Vries equation on the half-line
Tipo de evento: Seminário LNCC
We shall present some results concerning large-time behavior of solutions of the KdV equation posed on the positive half-line under the effect of a localized damping term. Assuming that the damping function is effective on a subset of the domain we prove that the total energy decays locally uniform at an exponential rate. Combining multiplier techniques and compactness arguments the problem is reduced to prove the unique continuation property of weak solutions. We also use a Lyapunov approach to establish the decay of the solutions in some weighted spaces introduced by T. kato. This talk is based on joint works with F. Linares and L. Rosier.
Data Início: 30/08/2010 Hora: 14:00 Data Fim: Hora: 15:30
Local: LNCC - Laboratório Nacional de Computação Ciêntifica - Auditorio B
Comitê Organizador: Ademir Fernando Pazoto - - UFRJ -
