Null controllability of the semilinear heat equation

Abstract

This paper is concerned with the null controllability of systems governed by semilinear parabolic equations. The control is exerted either on a small subdomain or on a portion of the boundary. We prove that the system is null controllable when the nonlinear term <i>f(s)<i/> grows slower than <i>s<i/> . log|<i>s<i/>| as |<i>s<i/>| → ∞.