Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2017, Volume 461, Pages 52–64 (Mi znsl6480)  
This article is cited in 2 scientific papers (total in 2 papers)

Local boundary controllability in classes of differentiable functions for the wave equation

M. I. Belishevab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (221 kB) Citations (2)
References:
PDF
HTML
Abstract: The well-known fact following from the Holmgren–John–Tataru uniqueness theorem is a local approximate boundary $L_2$-controllability of the dynamical system governed by the wave equation. Generalizing this result, we establish the controllability in certain classes of differentiable functions in the domains filled up with waves.
Key words and phrases: dynamical system, second-order hyperbolic equation, boundary controllability, differential function classes.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00529-а
Volkswagen Foundation
Received: 04.07.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 238, Issue 5, Pages 591–600
DOI: https://doi.org/10.1007/s10958-019-04259-0
Document Type: Article
UDC: 517
Language: Russian
Citation: M. I. Belishev, “Local boundary controllability in classes of differentiable functions for the wave equation”, Mathematical problems in the theory of wave propagation. Part 47, Zap. Nauchn. Sem. POMI, 461, POMI, St. Petersburg, 2017, 52–64; J. Math. Sci. (N. Y.), 238:5 (2019), 591–600
Citation in format AMSBIB
\Bibitem{Bel17}
\by M.~I.~Belishev
\paper Local boundary controllability in classes of differentiable functions for the wave equation
\inbook Mathematical problems in the theory of wave propagation. Part~47
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 461
\pages 52--64
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6480}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 238
\issue 5
\pages 591--600
\crossref{https://doi.org/10.1007/s10958-019-04259-0}
Linking options:
  • https://www.mathnet.ru/eng/znsl6480
  • https://www.mathnet.ru/eng/znsl/v461/p52
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:199
    Full-text PDF :49
    References:46
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024