Exact controllability for semilinear parabolic equations with neumann boundary conditions

Abstract

This paper studies the problem of exact boundary controllability of second-order semilinear parabolic equations when the control is under Neumann's boundary conditions. For a nonlinear term with a sublinear growth we prove the global null-controllability and for the superlinear growth case we prove the local exact controllability of the equations. © 1996 Plenum Publishing Corporation.