Abstract
We prove that the global attractor to a semilinear damped wave equation has finite fractal dimension provided that the damping function and the lower order nonlinearity are smooth with certain polynomial growth.
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Pražák, D. On Finite Fractal Dimension of the Global Attractor for the Wave Equation with Nonlinear Damping. Journal of Dynamics and Differential Equations 14, 763–776 (2002). https://doi.org/10.1023/A:1020756426088
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DOI: https://doi.org/10.1023/A:1020756426088