Attractors for Damped Quintic Wave Equations in Bounded Domains

@article{Kalantarov2013AttractorsFD,
  title={Attractors for Damped Quintic Wave Equations in Bounded Domains},
  author={V. Kalantarov and A. Savostianov and S. Zelik},
  journal={Annales Henri Poincar{\'e}},
  year={2013},
  volume={17},
  pages={2555-2584}
}
The dissipative wave equation with a critical quintic non-linearity in smooth bounded three-dimensional domain is considered. Based on the recent extension of the 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. 
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