Standard

On some applications of the Boundary Control method to spectral estimation and inverse problems. / Avdonin, S. A.; Mikhaylov, A. S.; Mikhaylov, V. S.

In: Nanosystems: Physics, Chemistry, Mathematics, Vol. 6, No. 1, 2015, p. 63-78.

Research output: Contribution to journal › Article › peer-review

Harvard

Avdonin, SA, Mikhaylov, AS & Mikhaylov, VS 2015, 'On some applications of the Boundary Control method to spectral estimation and inverse problems.', Nanosystems: Physics, Chemistry, Mathematics, vol. 6, no. 1, pp. 63-78. https://doi.org/10.17586/2220-8054-2015-6-1-63-78, https://doi.org/10.17586/2220-8054-2015-6-1-63-78, https://doi.org/DOI 10.17586/2220-8054-2015-6-1-63-78

APA

Avdonin, S. A., Mikhaylov, A. S., & Mikhaylov, V. S. (2015). On some applications of the Boundary Control method to spectral estimation and inverse problems. Nanosystems: Physics, Chemistry, Mathematics, 6(1), 63-78. https://doi.org/10.17586/2220-8054-2015-6-1-63-78, https://doi.org/10.17586/2220-8054-2015-6-1-63-78, https://doi.org/DOI 10.17586/2220-8054-2015-6-1-63-78

Vancouver

Avdonin SA, Mikhaylov AS, Mikhaylov VS. On some applications of the Boundary Control method to spectral estimation and inverse problems. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(1):63-78. https://doi.org/10.17586/2220-8054-2015-6-1-63-78, https://doi.org/10.17586/2220-8054-2015-6-1-63-78, https://doi.org/DOI 10.17586/2220-8054-2015-6-1-63-78

Author

Avdonin, S. A. ; Mikhaylov, A. S. ; Mikhaylov, V. S. / On some applications of the Boundary Control method to spectral estimation and inverse problems. In: Nanosystems: Physics, Chemistry, Mathematics. 2015 ; Vol. 6, No. 1. pp. 63-78.

BibTeX

@article{84fabfac6d2940b98f92217ad0ab521d,
title = "On some applications of the Boundary Control method to spectral estimation and inverse problems.",
abstract = "We consider applications of the Boundary Control (BC) method to generalized spectral estimation problems and to inverse source problems. We derive the equations of the BC method for these problems and show that the solvability of these equations crucially depends on the controllability properties of the corresponding dynamical system and properties of the corresponding families of exponentials.",
keywords = "spectral estimation problem, boundary control method, identification problem, inverse problem, Schrodinger equation, hyperbolic system",
author = "Avdonin, {S. A.} and Mikhaylov, {A. S.} and Mikhaylov, {V. S.}",
year = "2015",
doi = "10.17586/2220-8054-2015-6-1-63-78",
language = "English",
volume = "6",
pages = "63--78",
journal = "Nanosystems: Physics, Chemistry, Mathematics",
issn = "2220-8054",
publisher = "НИУ ИТМО",
number = "1",

}

RIS

TY - JOUR

T1 - On some applications of the Boundary Control method to spectral estimation and inverse problems.

AU - Avdonin, S. A.

AU - Mikhaylov, A. S.

AU - Mikhaylov, V. S.

PY - 2015

Y1 - 2015

N2 - We consider applications of the Boundary Control (BC) method to generalized spectral estimation problems and to inverse source problems. We derive the equations of the BC method for these problems and show that the solvability of these equations crucially depends on the controllability properties of the corresponding dynamical system and properties of the corresponding families of exponentials.

AB - We consider applications of the Boundary Control (BC) method to generalized spectral estimation problems and to inverse source problems. We derive the equations of the BC method for these problems and show that the solvability of these equations crucially depends on the controllability properties of the corresponding dynamical system and properties of the corresponding families of exponentials.

KW - spectral estimation problem

KW - boundary control method

KW - identification problem

KW - inverse problem

KW - Schrodinger equation

KW - hyperbolic system

U2 - 10.17586/2220-8054-2015-6-1-63-78

DO - 10.17586/2220-8054-2015-6-1-63-78

M3 - Article

VL - 6

SP - 63

EP - 78

JO - Nanosystems: Physics, Chemistry, Mathematics

JF - Nanosystems: Physics, Chemistry, Mathematics

SN - 2220-8054

IS - 1

ER -

ID: 5767472