Null controllability of the semilinear heat equation

E. Fernandez-Cara
1997 E S A I M: Control, Optimisation and Calculus of Variations  
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. W e p r o ve that the system is null controllable when the nonlinear term f (s) grows slower than s log jsj as jsj ! +1.
doi:10.1051/cocv:1997104 fatcat:xndc7zy4kves3l5qofhreitaty