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Matematicheskie Zametki, 1996, Volume 59, Issue 4, Pages 483–488
DOI: https://doi.org/10.4213/mzm1743 (Mi mzm1743) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Energy estimates for solutions of the mixed problem for linear second-order hyperbolic equations

A. B. Aliev, A. Kh. Khanmamedov

Azerbaijan Technical University
Full-text PDF (143 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm1743
Abstract: A mixed problem for a linear second-order hyperbolic equation with antidissipation inside the domain and dissipation on a part of the boundary is considered. It is proved that for certain relations between the antidissipation inside the domain and the dissipation on the part of the boundary, the energy of the system exponentially decreases, whereas for sufficiently large antidissipation inside the domain the boundary dissipation has no effect on the energy of the system; in this case the energy remains unbounded.
Received: 27.04.1995
English version:
Mathematical Notes, 1996, Volume 59, Issue 4, Pages 345–349
DOI: https://doi.org/10.1007/BF02308682
Bibliographic databases:
UDC: 517.957
Language: Russian
Citation: A. B. Aliev, A. Kh. Khanmamedov, “Energy estimates for solutions of the mixed problem for linear second-order hyperbolic equations”, Mat. Zametki, 59:4 (1996), 483–488; Math. Notes, 59:4 (1996), 345–349
Citation in format AMSBIB
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\by A.~B.~Aliev, A.~Kh.~Khanmamedov
\paper Energy estimates for solutions of the mixed problem for linear second-order hyperbolic equations
\jour Mat. Zametki
\yr 1996
\vol 59
\issue 4
\pages 483--488
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\crossref{https://doi.org/10.4213/mzm1743}
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\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 4
\pages 345--349
\crossref{https://doi.org/10.1007/BF02308682}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VD93600023}
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  • https://www.mathnet.ru/eng/mzm/v59/i4/p483
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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