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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 308, Pages 23–47 (Mi znsl826)  
This article is cited in 14 scientific papers (total in 14 papers)

On boundary controllability of dynamical system gouverned by the wave equation on a class of graphs (trees)

M. I. Belishev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (399 kB) Citations (14)
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Abstract: The boundary control problem for the wave equation on a planar graph consisting of strings of variable densities with Dirichlet control at the boundary vertices is considered. The exact controllability in $L_2$–classes of controls and states is established in the case that the grapf is a tree; a sharp estimate of the time of controllability is given.
Received: 26.08.2003
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 132, Issue 1, Pages 11–25
DOI: https://doi.org/10.1007/s10958-005-0471-x
Bibliographic databases:
UDC: 517
Language: Russian
Citation: M. I. Belishev, “On boundary controllability of dynamical system gouverned by the wave equation on a class of graphs (trees)”, Mathematical problems in the theory of wave propagation. Part 33, Zap. Nauchn. Sem. POMI, 308, POMI, St. Petersburg, 2004, 23–47; J. Math. Sci. (N. Y.), 132:1 (2006), 11–25
Citation in format AMSBIB
\Bibitem{Bel04}
\by M.~I.~Belishev
\paper On boundary controllability of dynamical system gouverned by the wave equation on a~class of graphs (trees)
\inbook Mathematical problems in the theory of wave propagation. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 308
\pages 23--47
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl826}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2092610}
\zmath{https://zbmath.org/?q=an:1130.93013}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 132
\issue 1
\pages 11--25
\crossref{https://doi.org/10.1007/s10958-005-0471-x}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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