Carleman estimates to study some controllability problems of hyperbolic PDES

Abstract

In this memory,we present carleman estimates for some hyperbolic Partial Differential Equations and on the techniques of construction and application to solving controllability problems. In the first chapter, we mention some important and comprehensive notion and theories that we need later. In the second chapter, we introduced some methodes for creating carleman estimates of hyperbolic (PDES). I In the third chapter we present some applications to solve problems of controllability of hyperbolic equation.