On the dynamics of a degenerate damped semilinear wave equation in \mathbb{R}^N : the non-compact case
Nikos I. Karachalios Athanasios N Lyberopoulos
Conference Publications 2007, 2007(Special): 531-540 doi: 10.3934/proc.2007.2007.531
We show the existence of a global attractor for a degenerate, linearly damped, semilinear wave equation in $mathbb{R}^N$ under a new condition concerning a variable non-negative diffusivity. In particular, we show the asymptotic compactness of the induced semiflow by combining the energy equation method with appropriate tail estimates.
keywords: tail estimates global attractor asymptotically compact semiflow. Degenerate semilinear wave equation energy equation method

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