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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 4, Pages 809–829
DOI: https://doi.org/10.17377/smzh.2016.57.407 (Mi smj2786) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Large-time behavior of solutions to degenerate damped hyperbolic equations

D. T. Luyena, N. M. Trib

a Department of Mathematics, Hoa Lu University, Ninh Nhat, Vietnam
b Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam
Full-text PDF (367 kB) Citations (15)
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DOI: https://doi.org/10.17377/smzh.2016.57.407
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.
Funding agency Grant number
National Foundation for Science and Technology Development Vietnam 101.02-2014.50
The authors are supported by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) (Grant 101.02–2014.50).
Received: 20.03.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 4, Pages 632–649
DOI: https://doi.org/10.1134/S0037446616040078
Bibliographic databases:
Document Type: Article
UDC: 517.951
Language: Russian
Citation: D. T. Luyen, N. M. Tri, “Large-time behavior of solutions to degenerate damped hyperbolic equations”, Sibirsk. Mat. Zh., 57:4 (2016), 809–829; Siberian Math. J., 57:4 (2016), 632–649
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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