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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 461, Pages 52–64
(Mi znsl6480)
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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
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.
Received: 04.07.2017
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
Linking options:
https://www.mathnet.ru/eng/znsl6480 https://www.mathnet.ru/eng/znsl/v461/p52
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Abstract page: | 198 | Full-text PDF : | 49 | References: | 46 |
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