WIAS Preprint No. 1137, (2006)

Smooth attractors for strongly damped wave equations



Authors

  • Pata, Vittorino
  • Zelik, Sergey

2010 Mathematics Subject Classification

  • 35B33 35B40 35L05 35M10

Keywords

  • Strongly damped wave equation, critical and supercritical growths, compact global attractors, regularity

Abstract

This paper is concerned with the semilinear strongly damped wave equation $$ptt u-Delta pt u-Delta u+varphi(u)=f.$$ The existence of compact global attractors of optimal regularity is proved for nonlinearities $varphi$ of critical and supercritical growth.

Appeared in

  • Nonlinearity, 19 (2006) pp. 1495--1506.

Download Documents