Carleman estimates for parabolic equations Applications to controllability problems

Abstract

The main goal of thismemoryis to show someCarlmanestimates of parabolicPDEs and its application to controllabilityproblems. Weshallpresenttwokinds: the first is for a heatequation and the second is the general case of PDEs as well as some applications to solveproblems of controllability of parabolicequations. Actually, theseinequalities are lead to the existence of solutions for controllabilityproblems. Carlemanestimates are weightedine qualities constructed via a verytech nicalmethod.