Controllability of the semilinear Benjamin-Bona-Mahony equation

Abstract

In this paper we prove the interior approximate control- lability of the following Generalized Semilinear Benjamin-Bona-Mahony type equation (BBM) with homogeneous Dirichlet boundary conditions zt a zt b z = 1!u(t;x) +f(t;z;u(t;x)); t2 (0; ); x2 ; z(t;x) = 0; t 0; x2 @ ; where a 0 and b > 0 are constants, is a domain in IR N , ! is an open