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Siberian Mathematical Journal

, Volume 57, Issue 4, pp 632–649 | Cite as

Large-time behavior of solutions to degenerate damped hyperbolic equations

  • D. T. Luyen
  • N. M. Tri
Article

Abstract

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.

Keywords

global solution global attractor Lyapunov functional degenerate damped hyperbolic equation l-trajectory finite dimensionality of attractors 

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Copyright information

© Pleiades Publishing, Ltd. 2016

Authors and Affiliations

  1. 1.Department of MathematicsHoa Lu UniversityNinh NhatVietnam
  2. 2.Institute of MathematicsVietnam Academy of Science and TechnologyHanoiVietnam

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