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Algebra i Analiz, 2000, Volume 12, Issue 2, Pages 131–187 (Mi aa1104)  

This article is cited in 24 scientific papers (total in 24 papers)

Research Papers

A dynamic inverse problem for the Maxwell system: reconstruction of the velocity in the regular zone (the BC-method).

M. I. Belishev, A. K. Glasman

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Received: 12.04.1999
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. I. Belishev, A. K. Glasman, “A dynamic inverse problem for the Maxwell system: reconstruction of the velocity in the regular zone (the BC-method).”, Algebra i Analiz, 12:2 (2000), 131–187; St. Petersburg Math. J., 12:2 (2001), 279–316
Citation in format AMSBIB
\Bibitem{BelGla00}
\by M.~I.~Belishev, A.~K.~Glasman
\paper A dynamic inverse problem for the Maxwell system: reconstruction of the velocity in the regular zone (the BC-method).
\jour Algebra i Analiz
\yr 2000
\vol 12
\issue 2
\pages 131--187
\mathnet{http://mi.mathnet.ru/aa1104}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1768140}
\zmath{https://zbmath.org/?q=an:1012.78010}
\transl
\jour St. Petersburg Math. J.
\yr 2001
\vol 12
\issue 2
\pages 279--316
Linking options:
  • https://www.mathnet.ru/eng/aa1104
  • https://www.mathnet.ru/eng/aa/v12/i2/p131
  • This publication is cited in the following 24 articles:
    1. V. G. Fomenko, “Opredelenie bystroi skorosti v dinamicheskoi sisteme tipa Lame”, Matematicheskie voprosy teorii rasprostraneniya voln. 49, Zap. nauchn. sem. POMI, 483, POMI, SPb., 2019, 243–268  mathnet
    2. M. I. Belishev, “Boundary control and tomography of Riemannian manifolds (the BC-method)”, Russian Math. Surveys, 72:4 (2017), 581–644  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. Pestov L., Uhlmann G., Zhou H., “An Inverse Kinematic Problem With Internal Sources”, Inverse Probl., 31:5 (2015), 055006  crossref  mathscinet  zmath  isi  elib  scopus
    4. M. N. Demchenko, “On transforms of divergence-free and curl-free fields, connected with inverse problems”, J. Math. Sci. (N. Y.), 206:3 (2015), 247–259  mathnet  crossref
    5. V. G. Fomenko, “Dynamical inverse problem for the Lame type system (the BC-method)”, J. Math. Sci. (N. Y.), 214:3 (2016), 392–421  mathnet  crossref  mathscinet
    6. M. I. Belishev, M. N. Demchenko, “Dynamical system with boundary control associated with symmetric semi-bounded operator”, J. Math. Sci. (N. Y.), 194:1 (2013), 8–20  mathnet  crossref  mathscinet
    7. M. N. Demchenko, “The dynamical 3-dimensional inverse problem for the Maxwell system”, St. Petersburg Math. J., 23:6 (2012), 943–975  mathnet  crossref  mathscinet  isi  elib  elib
    8. Belishev M.I., Demchenko M.N., “Time-optimal reconstruction of Riemannian manifold via boundary electromagnetic measurements”, J Inverse Ill Posed Probl, 19:2 (2011), 167–188  crossref  mathscinet  zmath  isi  elib  scopus
    9. Belishev M.I., Vakulenko A.F., “Inverse scattering problem for the wave equation with locally perturbed centrifugal potential”, J. Inverse Ill-Posed Probl., 17:2 (2009), 127–157  crossref  mathscinet  zmath  isi  elib  scopus
    10. M. N. Demchenko, “On a partially isometric transform of divergence free vector fields”, J. Math. Sci. (N. Y.), 166:1 (2010), 11–22  mathnet  crossref
    11. Belishev M.I., Vakulenko A.F., “Reachable and unreachable sets in the scattering problem for the acoustical equation in $\mathbb R^3$”, SIAM J. Math. Anal., 39:6 (2007), 1821–1850  crossref  mathscinet  isi  scopus
    12. Belishev M.I., “Recent progress in the boundary control method”, Inverse Problems, 23:5 (2007), R1–R67  crossref  mathscinet  zmath  adsnasa  isi  scopus
    13. Borovskikh A.V., “Formulas of boundary control of an inhomogeneous string. I”, Differ. Equ., 43:1 (2007), 69–95  crossref  mathscinet  zmath  isi  elib  elib  scopus
    14. M. I. Belishev, A. F. Vakulenko, “On a control problem for the wave equation in $\mathbf R^3$”, J. Math. Sci. (N. Y.), 142:6 (2007), 2528–2539  mathnet  crossref  mathscinet  zmath
    15. Kurylev Ya., Lassas M., Somersalo E., “Maxwell's equations with a polarization independent wave velocity: Direct and inverse problems”, J. Math. Pures Appl. (9), 86:3 (2006), 237–270  crossref  mathscinet  zmath  isi  scopus
    16. Romanov V.G., “A stability estimate of the solution to the problem of determining dielectric permittivity and electric conductivity”, Doklady Mathematics, 71:1 (2005), 154–159  mathscinet  isi  elib
    17. V. G. Romanov, “A stability estimate for a solution of the problem of determining the dielectric permittivity”, Siberian Math. J., 45:4 (2004), 730–739  mathnet  crossref  mathscinet  zmath  isi
    18. V. G. Romanov, “A stability estimate for a solution to a three-dimensional inverse problem for the Maxwell equations”, Siberian Math. J., 45:6 (2004), 1098–1112  mathnet  crossref  mathscinet  zmath  isi
    19. Lada A., Sidz L., “Approximate boundary controllability for the system of linear elasticity”, Mathematical Methods in the Applied Sciences, 27:17 (2004), 2017–2026  crossref  mathscinet  zmath  adsnasa  isi  scopus
    20. Katchalov A., Lassas M., “Gaussian beams and inverse boundary spectral problems”, New Analytic and Geometric Methods in Inverse Problems, 2004, 127–163  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
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