Yuri Tomilov (Torun and IM PAN, Warsaw)

Rates of decay of operator semigroups

Abstract: In the last years there has been an increasing interest to the study of the rates of decay of bounded C_0-semigroups motivated by concrete applications to PDE's, e.g. to the study of energy decay for damped wave equations. We intend to review recent results and technique pertaining to decay of bounded C0- semigroups on Banach spaces obtained by Batty & Duyckaerts (2008) and Borichev & Tomilov (2010) and to discuss several notorious open problems in this domain.