Large-time behavior of solutions to degenerate damped hyperbolic equations

We investigate the asymptotic behavior of solutions to damped hyperbolic equations involving strongly degenerate differential operators. First we establish the existence of a global attractor for the damped hyperbolic equation under consideration. Then we prove the finite dimensionality of the globa...

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Bibliographic Details
Published in:Siberian mathematical journal 2016-07, Vol.57 (4), p.632-649
Main Authors: Luyen, D. T., Tri, N. M.
Format: Article
Language:English
Subjects:
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
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Summary:We investigate the asymptotic behavior of solutions to damped hyperbolic equations involving strongly degenerate differential operators. First we establish the existence of a global attractor for the damped hyperbolic equation under consideration. Then we prove the finite dimensionality of the global attractor.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446616040078