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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2001, Volume 8, Number 2, Pages 215–227 (Mi jmag341)  
This article is cited in 7 scientific papers (total in 7 papers)

Determining functionals for nonlinear damped wave equations

I. D. Chueshova, V. K. Kalantarovb

a V. N. Karazin Kharkiv National University, Faculty of Mathematics and Mechanics
b Department of Mathematics, Faculty of Science, Hacettepe University, 06532 Beytepe-Ankara, Turkey
Full-text PDF (262 kB) Citations (7)
Abstract: We prove the existence of a wide collection of finite sets of functionals that completely determine the long-time behaviour of solutions to nonlinearly damped wave equations. This collection contains finite sets of determining modes, nodes and local volume averages.
Received: 22.01.2001
Bibliographic databases:
Document Type: Article
MSC: Primary 35B40; Secondary 35L70, 35L15
Language: English
Citation: I. D. Chueshov, V. K. Kalantarov, “Determining functionals for nonlinear damped wave equations”, Mat. Fiz. Anal. Geom., 8:2 (2001), 215–227
Citation in format AMSBIB
\Bibitem{ChuKal01}
\by I.~D.~Chueshov, V.~K.~Kalantarov
\paper Determining functionals for nonlinear damped wave equations
\jour Mat. Fiz. Anal. Geom.
\yr 2001
\vol 8
\issue 2
\pages 215--227
\mathnet{http://mi.mathnet.ru/jmag341}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1859881}
\zmath{https://zbmath.org/?q=an:0995.35007}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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