Geodesic
Analyticity of global attractors and determining nodes for a~class of damped non-linear wave equations
Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1541-1559

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The Gevrey regularity of global attractors of dynamical systems generated by a certain class of coupled dissipative systems of damped non-linear wave equations with periodic boundary conditions is established. This result means that the elements of the attractor are real-analytic functions in the spatial variables. As an application the existence of two determining nodes for the corresponding problem in one spatial dimension is proved. 
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     author = {I. D. Chueshov},
     title = {Analyticity of global attractors and determining nodes for a~class of damped non-linear wave equations},
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I. D. Chueshov. Analyticity of global attractors and determining nodes for a~class of damped non-linear wave equations. Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1541-1559. http://geodesic.mathdoc.fr/item/SM_2000_191_10_a7/