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Attractors and their regularity for 2-D wave equations with nonlinear damping
2006, Pata, Vittorino, Zelik, Sergey
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.