Special Session 9: 

Damped wave equations with quintic nonlinearities in bounded domains: asymptotic regularity and attractors

Sergey Zelik
University of Surrey
England
Co-Author(s):    
Abstract:
We discuss the recent achievements in the attractors theory for damped wave equations in bounded domains which are related with Strichartz type estimates. In particular, we present the results related with the well-posedness and asymptotic smoothness of the solution semigroup in the case of critical quintic nonlinearity. The non-autonomous case will be also considered