Large-time behavior of solutions to degenerate damped hyperbolic equations
- Authors: Luyen D.T.1, Tri N.M.2
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Affiliations:
- Department of Mathematics
- Institute of Mathematics
- Issue: Vol 57, No 4 (2016)
- Pages: 632-649
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170598
- DOI: https://doi.org/10.1134/S0037446616040078
- ID: 170598
Cite item
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.
About the authors
D. T. Luyen
Department of Mathematics
Email: triminh@math.ac.vn
Viet Nam, Ninh Nhat
N. M. Tri
Institute of Mathematics
Author for correspondence.
Email: triminh@math.ac.vn
Viet Nam, Hanoi