Cătălin-George Lefter
Alexandru Ioan Cuza University & Octav Mayer Institute of Mathematics, Romanian Academy, Iaşi

We consider systems of reaction-diffusion equations and we discuss various problems and corresponding results involving, as a central tool, Carleman estimates with either internal or boundary observations: Controllability to stationary solutions with a low number of localized, distributed controls entering only a part of the equations; Inverse source stability estimates with boundary observations; Unique continuation at initial time for parabolic systems.