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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