Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 149, pp. 1-10.

Title: Dissipative initial boundary value problem for the BBM-equation

Authors: Nikolai A. Larkin  (Univ. Estadual de Maringa, Brazil)
         Mikhail P. Vishnevskii (Univ. Estadual de Norte Flumenense, Brazil)

Abstract:
 This paper concerns a dissipative initial boundary value problem
 for the Benjamin-Bona-Mahony (BBM) equation. We prove the existence and
 uniqueness of global solutions and the decay of the energy
 as time tends to infinity.
  
Submitted June 5, 2008. Published October 29, 2008.
Math Subject Classifications: 35Q53, 37K45.
Key Words: BBM equation; regular solution; asymptotic behavior.