Uniform null controllability for parabolic equations with discontinuous diffusion coefficients

Null Controllability Results for Degenerate Parabolic Equations

The null controllability of parabolic operators in bounded domains, with both boundary or locally distributed controls, is a well-established property, see, e.g., (Bensoussan et al., 1993) and (Fattorini, 1998). Such a property brakes down, however, for degenerate parabolic operators even when degeneracy occurs on ”small” subsets of the space domain, such as subsets of the boundary. This talk w...

Null controllability of a parabolic system with non constant coefficients

We present a new approach to investigate the null controllability by one force for a 3×3 linear parabolic system with non constants coefficients. We prove sufficient conditions for the null controllability, which generalize, in some sense, the Kalman condition for systems with constant coefficients.

Null Controllability for Parabolic Equations with Dynamic Boundary Conditions

We prove null controllability for linear and semilinear heat equations with dynamic boundary conditions of surface diffusion type. The results are based on a new Carleman estimate for this type of boundary conditions.

Null–controllability of One–dimensional Parabolic Equations

We prove the interior null–controllability of one–dimensional parabolic equations with time independent measurable coefficients.

On the null-controllability of diffusion equations