WIAS Preprint No. 1140, (2006)

Attractors and their regularity for 2-D wave equations with nonlinear damping


  • Pata, Vittorino
  • Zelik, Sergey

2010 Mathematics Subject Classification

  • 35B41 35L05 74K15


  • Wave equation, nonlinear damping, compact global attractor, exponential attractor


We address the study of a weakly damped wave equation in space-dimension two, with a damping coefficient depending on the displacement. The equation is shown to generate a semigroup possessing a compact global attractor of optimal regularity, as well as an exponential attractor.

Appeared in

  • Adv. Math. Sci. Appl. 17 (2007), no. 1, 225--237.

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