Multiplicative controllability for parabolic equations
Next Tuesday December 3rd. Giuseppe Floridia will be visiting the CCM – Chair of Computational Mathematics from the Università Mediterranea di Reggio Calabria to talk about Multiplicative controllability for parabolic equations.
Abstract. We discuss some results concerning the approximate controllability of semilinear reaction-diffusion equations governed via the coefficient of the reaction term (multiplicative or bilinear control). For this kind of equations there are some important obstructions to the multiplicative controllability due to the strong maximum principle, thus two kinds of controllability are worth studying: nonnegative controllability and controllability between sign-changing states. The results obtained for uniformly parabolic equations were extended to the degenerate case.