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Sbornik: Mathematics, 2000, Volume 191, Issue 10, Pages 1541–1559
DOI: https://doi.org/10.1070/sm2000v191n10ABEH000519 (Mi sm519) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Analyticity of global attractors and determining nodes for a class of damped non-linear wave equations

I. D. Chueshov

V. N. Karazin Kharkiv National University
English version PDF (224 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/sm2000v191n10ABEH000519
Abstract: The Gevrey regularity of global attractors of dynamical systems generated by a certain class of coupled dissipative systems of damped non-linear wave equations with periodic boundary conditions is established. This result means that the elements of the attractor are real-analytic functions in the spatial variables. As an application the existence of two determining nodes for the corresponding problem in one spatial dimension is proved.
Received: 11.06.1999
Bibliographic databases:
UDC: 517.94
MSC: 35B40, 35B41, 35L70
Language: English
Original paper language: Russian
Citation: I. D. Chueshov, “Analyticity of global attractors and determining nodes for a class of damped non-linear wave equations”, Sb. Math., 191:10 (2000), 1541–1559
Citation in format AMSBIB
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\paper Analyticity of global attractors and determining nodes for a~class of damped non-linear wave equations
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\yr 2000
\vol 191
\issue 10
\pages 1541--1559
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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