Savostianov-Zelik paper accepted in Annales Henri Poincare

previewThe paper “Attractors for damped qunitic wave equations in bounded domains“, co-authored by Varga Kalantorov (Istanbul, Turkey), Anton Savostianov (University of Cergy-Pontoise), and Sergey Zelik, has been accepted for publication in Annales de l’Institut Henri Poincaré (C) Analyse Non Lineaire. A final-form version of the paper is available here.  In the paper, the dissipative wave equation with a critical quintic nonlinearity in smooth bounded three dimensional domain is considered.  Based on the recent extension of Strichartz estimates to the case of bounded domains, the existence of a compact global attractor for the solution semigroup of this equation is established. Moreover, the smoothness of the obtained attractor is also shown.