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
DOI
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