Smooth attractors for strongly damped wave equations
- Pata, Vittorino
- Zelik, Sergey
2010 Mathematics Subject Classification
- 35B33 35B40 35L05 35M10
- Strongly damped wave equation, critical and supercritical growths, compact global attractors, regularity
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.
- Nonlinearity, 19 (2006) pp. 1495--1506.