Resumen de Null controllability for the semilinear heat equation in unbounded domains
Silvano Dias Bezerra de Menezes, Eugenio Cabanillas Lapa
In this paper, we consider the null controllability problem for the semilinear heat equation in an unbounded domain Ω of RN with Dirichlet boundary conditions. The control ís assumed to be distributed along a subdomain w such that the uncontrolled regian Ω\w ís bounded. Using Carleman inequalities we first prove the null controllabitity of the linearized equation. Then, by a fixed point method, we obtain the main result for the semilinear case. This result asserts that, when the nonlinearity is globally Lipschitz, the system is null controllable.
