Special Session 23: Evolution Equations and Integrable Systems

On Special Properties of Solutions to the Benjamin-Bona-Mahony Equation
Christian Hong
University of California Santa Barbara
USA
Co-Author(s):    Gustavo Ponce
Abstract:
This work is concerned with the Benjamin-Bona-Mahony equation. This model was deduced as an approximation to the Korteweg-de Vries equation in the description of the unidirectional propagation of long waves. Our goal is to present some results on unique continuation and regularity properties of solutions to the associated initial value problem and intial periodic boundary value problems.