On Special Properties of Solutions to the Benjamin-Bona-Mahony Equation

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 unidirectional propagation of long waves. Our goal here is to study unique continuation and regularity properties on solutions to the associated initial value problem and initial periodic boundary value problems