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Belishev Mikhail Igorevich

Publications in Math-Net.Ru

  1. Triangular factorization and functional models of operators and systems

    Algebra i Analiz, 36:5 (2024),  101–127
  2. On controllability of the acoustic scattering dynamical system in $\Bbb R^3$

    Zap. Nauchn. Sem. POMI, 539 (2024),  31–43
  3. On the M. Kac problem with augmented data

    Zap. Nauchn. Sem. POMI, 536 (2024),  79–95
  4. Three-dimensional inverse acoustic scattering problem by the BC-method

    Zap. Nauchn. Sem. POMI, 533 (2024),  55–76
  5. A functional model of a class of symmetric semi-bounded operators

    Zap. Nauchn. Sem. POMI, 521 (2023),  33–53
  6. Wave propagation in abstract dynamical system with boundary control

    Zap. Nauchn. Sem. POMI, 521 (2023),  8–32
  7. Canonical form of the $C^*$-algebra of eikonals related to a metric graph

    Izv. RAN. Ser. Mat., 86:4 (2022),  3–50
  8. Canonical forms of metric graph eikonal algebra and graph geometry

    Zap. Nauchn. Sem. POMI, 519 (2022),  35–66
  9. Toeplitz matrices in the BC-method for the plane domains

    Zap. Nauchn. Sem. POMI, 506 (2021),  21–35
  10. The wave model of a metric space with measure and an application

    Mat. Sb., 211:4 (2020),  44–62
  11. Characterization of data in dynamical inverse problem for the 1d wave equation with matrix potential

    Zap. Nauchn. Sem. POMI, 493 (2020),  48–72
  12. On algebras of harmonic quaternion fields in ${\mathbb R}^3$

    Algebra i Analiz, 31:1 (2019),  1–17
  13. The Wave Model of Metric Spaces

    Funktsional. Anal. i Prilozhen., 53:2 (2019),  3–10
  14. On an evolutionary dynamical system of the first order with boundary control

    Zap. Nauchn. Sem. POMI, 483 (2019),  41–54
  15. Simplest test for three-dimensional dynamical inverse problem (the BC-method)

    Zap. Nauchn. Sem. POMI, 483 (2019),  19–40
  16. Eikonal algebra on a graph of simple structure

    Eurasian Journal of Mathematical and Computer Applications, 6:3 (2018),  4–33
  17. Simplest test for two-dimensional dynamical inverse problem (the BC-method)

    Zap. Nauchn. Sem. POMI, 471 (2018),  38–58
  18. Wave model of the Sturm–Liouville operator on the half-line

    Algebra i Analiz, 29:2 (2017),  3–33
  19. Boundary control and tomography of Riemannian manifolds (the BC-method)

    Uspekhi Mat. Nauk, 72:4(436) (2017),  3–66
  20. Local boundary controllability in classes of differentiable functions for the wave equation

    Zap. Nauchn. Sem. POMI, 461 (2017),  52–64
  21. On algebras of three-dimensional quaternionic harmonic fields

    Zap. Nauchn. Sem. POMI, 451 (2016),  14–28
  22. Evolution of wave field jumps near caustics (elementary approach)

    Zap. Nauchn. Sem. POMI, 438 (2015),  46–72
  23. Characterization of inverse data for one-dimensional two-velocity dynamical system

    Algebra i Analiz, 26:3 (2014),  89–130
  24. Noncommutative geometry and the tomography of manifolds

    Tr. Mosk. Mat. Obs., 75:2 (2014),  159–180
  25. On a calculus of variations problem

    Zap. Nauchn. Sem. POMI, 426 (2014),  12–22
  26. C*-algebras in reconstruction of manifolds

    Nanosystems: Physics, Chemistry, Mathematics, 4:4 (2013),  484–489
  27. Dynamical system with boundary control associated with symmetric semi-bounded operator

    Zap. Nauchn. Sem. POMI, 409 (2012),  17–39
  28. Determination of distances to virtual source from dynamical boundary data

    Zap. Nauchn. Sem. POMI, 393 (2011),  29–45
  29. On reconstruction of Riemannian manifold via boundary data: theory and plan of numerical testing

    Zap. Nauchn. Sem. POMI, 380 (2010),  8–30
  30. Forward dynamical problem for Timoshenko beam

    Zap. Nauchn. Sem. POMI, 369 (2009),  16–47
  31. Boundary control and inverse problems: one-dimensional variant of the BC-method

    Zap. Nauchn. Sem. POMI, 354 (2008),  19–80
  32. On a control problem for the wave equation in $\mathbf R^3$

    Zap. Nauchn. Sem. POMI, 332 (2006),  19–37
  33. Determination of the parameters of the system of connected beams from dynamical boundary measurements

    Zap. Nauchn. Sem. POMI, 324 (2005),  20–42
  34. On boundary controllability of dynamical system gouverned by the wave equation on a class of graphs (trees)

    Zap. Nauchn. Sem. POMI, 308 (2004),  23–47
  35. On relations between data of dynamical and spectral inverse problems

    Zap. Nauchn. Sem. POMI, 297 (2003),  30–48
  36. On uniqueness of recovering the parameters of the Maxwell system via dynamical boundary data

    Zap. Nauchn. Sem. POMI, 285 (2002),  15–32
  37. A local uniqueness in the dynamical inverse problem for the two–velosity system

    Zap. Nauchn. Sem. POMI, 275 (2001),  41–54
  38. On a unitary transform in the space $L_2(\Omega,\mathbb R^3)$ connected with the Weyl decomposition

    Zap. Nauchn. Sem. POMI, 275 (2001),  25–40
  39. 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
  40. The effects connected with coincidence of velocities in the two-velocities dynamical system

    Zap. Nauchn. Sem. POMI, 264 (2000),  44–65
  41. On the triangular factorization of isomorphisms

    Zap. Nauchn. Sem. POMI, 264 (2000),  33–43
  42. Characterization of data in the dynamical inverse problem for two-velocity system

    Zap. Nauchn. Sem. POMI, 259 (1999),  19–45
  43. On the projecting in the space of solenoidal vector fields

    Zap. Nauchn. Sem. POMI, 257 (1999),  16–43
  44. Visualization of waves in the Maxwell dynamical system (the BC-method)

    Zap. Nauchn. Sem. POMI, 250 (1998),  49–61
  45. Dynamical inverse problem for nonselfadjoint Sturm–Liouville operator

    Zap. Nauchn. Sem. POMI, 250 (1998),  7–21
  46. On a uniqueness of the recovering low-order terms in the wave equation via dynamical boundary measurements

    Zap. Nauchn. Sem. POMI, 249 (1997),  55–76
  47. On a triangular factorization of positive operators

    Zap. Nauchn. Sem. POMI, 239 (1997),  45–60
  48. A canonical model of a dynamical system with boundary control in the inverse heat conduction problem

    Algebra i Analiz, 7:6 (1995),  3–32
  49. The conservative model of a dissipative dynamical system

    Zap. Nauchn. Sem. POMI, 230 (1995),  21–35
  50. Boundary control and canonical realizations of a two-velosity dynamical system

    Zap. Nauchn. Sem. POMI, 222 (1995),  18–44
  51. A spectral variant of the VS-method: theory and numerical experiment

    Dokl. Akad. Nauk, 337:2 (1994),  172–176
  52. On a justification of the Huygens's Rule

    Zap. Nauchn. Sem. POMI, 218 (1994),  17–24
  53. Operator integral in multidimensional spectral Inverse Problem

    Zap. Nauchn. Sem. POMI, 215 (1994),  9–37
  54. The controllability in a filled domain for a multidimensional wave equation with a singular boundary control

    Zap. Nauchn. Sem. POMI, 210 (1994),  7–21
  55. Boundary controls and quasiphotons in a Riemannian manifold reconstruction problem via dynamical data

    Zap. Nauchn. Sem. POMI, 203 (1992),  21–50
  56. Boundary control and a matrix inverse problem for the equation $u_{tt}-u_{xx}+V(x)u=0$

    Mat. Sb., 182:3 (1991),  307–331
  57. The methods of the boundary control theory in inverse problem for unhomogeneous string

    Zap. Nauchn. Sem. LOMI, 186 (1990),  37–49
  58. Finite-dimensional spectral inverse problem for the bundle of Hermite quadratic forms

    Zap. Nauchn. Sem. LOMI, 186 (1990),  33–36
  59. Wave bases in multidimensional inverse problems

    Mat. Sb., 180:5 (1989),  584–602
  60. Application of boundary control theory methods to spectral inverse problem for inhomogeneous string

    Zap. Nauchn. Sem. LOMI, 179 (1989),  14–22
  61. The inverse spectral problem of the scattering of plane waves in a half-space with local inhomogeneity

    Zh. Vychisl. Mat. Mat. Fiz., 29:7 (1989),  1045–1056
  62. To the Kac problem of a reconstruction of the area shape by the spectrum of the Dirichlet problem

    Zap. Nauchn. Sem. LOMI, 173 (1988),  30–41
  63. An approach to multidimensional inverse problems for the wave equation

    Dokl. Akad. Nauk SSSR, 297:3 (1987),  524–527
  64. Inverse spectral indefinite problem for the equation $y''+\lambda p(x)y=0$ on an interval

    Funktsional. Anal. i Prilozhen., 21:2 (1987),  68–69
  65. Nonstationary inverse problem for the multidimensional wave equation “in the large”

    Zap. Nauchn. Sem. LOMI, 165 (1987),  21–30
  66. Equations of Gel'fand–Levitan type in multidimensional inverse problem for the wave equation

    Zap. Nauchn. Sem. LOMI, 165 (1987),  15–20
  67. Inverse problem for acoustical scattering in space with local inhomogeneity

    Zap. Nauchn. Sem. LOMI, 156 (1986),  24–34
  68. Inverse spectral problem for a trinomial recurrence formula (the case of variable sign)

    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 5,  70–72
  69. Inverse problem of the scattering of plane waves for a class of layered media

    Zap. Nauchn. Sem. LOMI, 78 (1978),  30–53
  70. Infringement of the condition for solvability of the converse problem for an inhomogeneous string

    Funktsional. Anal. i Prilozhen., 9:4 (1975),  57–58

  71. Vasilii Mikhailovich Babich (on his ninetieth birthday)

    Uspekhi Mat. Nauk, 76:1(457) (2021),  201–202
  72. Mikhail Mikhailovich Popov

    Zap. Nauchn. Sem. POMI, 506 (2021),  7–8

© Steklov Math. Inst. of RAS, 2025