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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 249, Pages 55–76
(Mi znsl580)
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This article is cited in 4 scientific papers (total in 4 papers)
On a uniqueness of the recovering low-order terms in the wave equation via dynamical boundary measurements
M. I. Belishev St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
An approach to the dynamical inverse problems based upon their relations to the Boundary Control Theory (so-called $BC$-method) is developed. The method is applied to the problem of reconstruction of a vector field in a domain via the response operator (the dynamical Dirichlet-to-Neumann map). A peculiarity of the case under consideration is that the operator which governs an evolution of the corresponding dynamical system is
nonselfadjoint. The paper gives a brief description of technique of the $BC$-method.
Received: 06.10.1997
Citation:
M. I. Belishev, “On a uniqueness of the recovering low-order terms in the wave equation via dynamical boundary measurements”, Boundary-value problems of mathematical physics and related problems of function theory. Part 29, Zap. Nauchn. Sem. POMI, 249, POMI, St. Petersburg, 1997, 55–76; J. Math. Sci. (New York), 101:5 (2000), 3408–3421
Linking options:
https://www.mathnet.ru/eng/znsl580 https://www.mathnet.ru/eng/znsl/v249/p55
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Abstract page: | 186 | Full-text PDF : | 67 |
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