Gleb Dyatlov
UW and Sobolev Institute of Mathematics, Russia
Date: February 22, 2005
Carleman estimates are a powerful tool in the theory of PDE; they are used to prove the unique continuation property in many different situations. In turn the unique continuation property implies the controllability property for the system governed by the equation. In this talk I will show how Carleman estimates with boundary terms can be used in proving the unique continuation and controllability properties for a hyperbolic equation with a constant leading part whose lower order terms depend on all variables including time.