Geodesic
Regular global attractors for wave equations with degenerate memory
Ural mathematical journal, Tome 5 (2019) no. 1, pp. 59-82

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We consider the wave equation with degenerate viscoelastic dissipation recently examined in Cavalcanti, Fatori, and Ma, Attractors for wave equations with degenerate memory, J. Differential Equations (2016). Under certain extra assumptions (namely on the nonlinear term), we show the existence of a compact attracting set which provides further regularity for the global attractor and show that it consists of regular solutions
Keywords: degenerate viscoelasticity, relative displacement history, nonlinear wave equation, critical exponent, regular global attractor. 
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     author = {Joseph L. Shomberg},
     title = {Regular global attractors for wave equations with degenerate memory},
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Joseph L. Shomberg. Regular global attractors for wave equations with degenerate memory. Ural mathematical journal, Tome 5 (2019) no. 1, pp. 59-82. http://geodesic.mathdoc.fr/item/UMJ_2019_5_1_a6/