## Belishev, Mikhail Igorevitch

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 Author ID: belishev.mikhail-igorevitch Published as: Belishev, M. I.; Belishev, Mikhail I.; Belishev, Mikhail; Belishev, M.; Belishev, Mikhail Igorevitch; Belishev, Michael I.; Belisev, M. I.; Belishev, Mikhaĭl I. more...less External Links: ORCID · Math-Net.Ru
 Documents Indexed: 130 Publications since 1976 4 Contributions as Editor Co-Authors: 47 Co-Authors with 77 Joint Publications 1,002 Co-Co-Authors
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### Co-Authors

 47 single-authored 12 Ivanov, Sergei A. 8 Avdonin, Sergeĭ Anatol’evich 8 Kurylëv, Yaroslav Vadimovich 5 Kachalov, Aleksandr Pavlovich 5 Simonov, Sergey A. 4 Blagovestchenskiĭ, Aleksandr Sergeevich 4 Demchenko, Maxim Nikolaevich 4 Korikov, Dmitrii V. 4 Molotkov, Lev Anatolievich 2 Glasman, A. K. 2 Gotlib, V. Yu. 2 Isakov, Victor M. 2 Karazeeva, N. A. 2 Mikhaylov, Victor S. 2 Pestov, Andrei Leonidovich 2 Putov, M. V. 2 Rozhkov, Yu. S. 2 Sharafutdinov, Vladimir A. 2 Sheronova, T. L. 2 Vakulenko, Aleksei F. 2 Wada, Naoki 1 Badanin, A. V. 1 Dobrokhotov, Sergei Yurievich 1 Fomenko, Vladimir Gennadievich 1 Glasman, Aleksandr 1 Ibragimov, Il’dar Abdullovich 1 Ivanov, Ivan B. 1 Kislyakov, Sergeĭ Vital’evich 1 Kubyshkin, Igor V. 1 Langemann, Dirk 1 Lasiecka, Irena 1 Lyalinov, Mikhail Anatolievich 1 Matiyasevich, Yuriĭ Vladimirovich 1 Mikhaĭlov, V. S. 1 Mikhaylov, Alexander S. 1 Pestov, L. N. 1 Philippov, Vjacheslav Borisovish 1 Popov, Aleksei Nikolaevich 1 Pushnitski, Alexander B. 1 Romanov, Vladimir Gavrilovich 1 Ryzhov, Vladimir Anatol’evich 1 Semenov, Vladimir S. 1 Smyshlyaev, Valery P. 1 Suslina, Tat’yana Aleksandrovna 1 Ural’tseva, Nina Nikolaevna 1 Vakulenko, Alexsei F. 1 Zurov, A. B.
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### Serials

 36 Journal of Mathematical Sciences (New York) 11 Journal of Inverse and Ill-Posed Problems 7 Inverse Problems 6 Journal of Soviet Mathematics 5 Zapiski Nauchnykh Seminarov POMI 5 St. Petersburg Mathematical Journal 5 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 4 SIAM Journal on Mathematical Analysis 3 Functional Analysis and its Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Cubo 2 Russian Mathematical Surveys 2 Wave Motion 2 Mathematics of the USSR, Sbornik 2 Evolution Equations and Control Theory 1 Computers & Mathematics with Applications 1 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Geometry and Physics 1 Control and Cybernetics 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of the Mathematical Society of Japan 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Soviet Mathematics. Doklady 1 Transactions of the Moscow Mathematical Society 1 Soviet Mathematics 1 Journal of Operator Theory 1 Soviet Journal of Automation and Information Sciences 1 Communications in Partial Differential Equations 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Vestnik Leningrad University. Mathematics 1 Matematicheskiĭ Sbornik 1 Physics-Doklady 1 Bulletin des Sciences Mathématiques 1 Sbornik: Mathematics 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Complex Analysis and Operator Theory 1 Nanosystems. Physics, Chemistry, Mathematics
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### Fields

 98 Partial differential equations (35-XX) 39 Systems theory; control (93-XX) 19 Global analysis, analysis on manifolds (58-XX) 16 Operator theory (47-XX) 15 Mechanics of deformable solids (74-XX) 12 Ordinary differential equations (34-XX) 12 Functional analysis (46-XX) 8 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 7 Optics, electromagnetic theory (78-XX) 6 Functions of a complex variable (30-XX) 5 Differential geometry (53-XX) 5 Geophysics (86-XX) 4 General and overarching topics; collections (00-XX) 4 Integral equations (45-XX) 4 Quantum theory (81-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Difference and functional equations (39-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Combinatorics (05-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

93 Publications have been cited 780 times in 359 Documents Cited by Year
To the reconstruction of a Riemannian manifold via its spectral data (BC- method). Zbl 0812.58094
Belishev, Michael I.; Kurylev, Yaroslav V.
1992
Boundary control in reconstruction of manifolds and metrics (the BC method). Zbl 0990.35135
Belishev, M. I.
1997
Recent progress in the boundary control method. Zbl 1126.35089
Belishev, M. I.
2007
Boundary spectral inverse problem on a class of graphs (trees) by the BC method. Zbl 1086.35122
Belishev, M. I.
2004
Dirichlet to Neumann operator on differential forms. Zbl 1133.58017
2008
The Caldéron problem for two-dimensional manifolds by the BC-method. Zbl 1048.58019
Belishev, M. I.
2003
Inverse problems on graphs: recovering the tree of strings by the BC-method. Zbl 1099.35165
Belishev, M. I.; Vakulenko, A. F.
2006
Dynamical variant of the BC-method: Theory and numerical testing. Zbl 0927.35129
Belishev, M. I.; Gotlib, V. Yu.
1999
Boundary control and a matrix inverse problem for the equation $$u_{tt}- u_{xx}+V(x)u=0$$. Zbl 0782.93054
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1992
The dynamical Lamé system: regularity of solutions, boundary controllability and boundary data continuation. Zbl 1064.93019
Belishev, M. I.; Lasiecka, I.
2002
Boundary control, wave field continuation and inverse problems for the wave equation. Zbl 0768.35077
Belishev, Michael I.; Kurylev, Yaroslav V.
1991
Boundary control and tomography of Riemannian manifolds (the BC-method). Zbl 1395.35207
Belishev, M. I.
2017
The BC-method in the inverse problem for the heat equation. Zbl 0886.35166
Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S.
1997
Equations of Gel’fand-Levitan type in multidimensional inverse problem for the wave equation. Zbl 0695.35111
Belishev, M. I.
1987
Geometrization of rings as a method for solving inverse problems. Zbl 1155.35484
Belishev, Mikhail
2009
On an approach to multidimensional inverse problems for the wave equation. Zbl 0661.35084
Belishev, M. I.
1988
Wave bases in multidimensional inverse problems. Zbl 0698.35164
Belishev, M. I.
1990
Boundary control and an inverse matrix problem for the equation $$u_{tt}-u_{xx}+V(x)u=O$$. Zbl 0735.93042
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1991
Boundary control and dynamical inverse problem for nonselfadjoint Sturm-Liouville operator (BC-method). Zbl 0859.93030
Avdonin, Sergei; Belishev, Mikhail
1996
Controllability in a filled domain for a multidimensional wave equation with the singular boundary control. Zbl 0870.93004
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1994
Dynamical systems with boundary control: Models and characterization of inverse data. Zbl 0988.35164
Belishev, M. I.
2001
Some remarks on the impedance tomography problem for 3d-manifolds. Zbl 1197.58008
Belishev, M. I.
2005
Unified approach to classical equations of inverse problem theory. Zbl 1279.35101
Belishev, Mikhail I.; Mikhaylov, Victor S.
2012
Canonical model of a dynamical system with boundary control in the inverse problem heat of conductivity. Zbl 0866.35134
Belishev, M. I.
1995
Numerical testing in determination of sound speed from a part of boundary by the BC-method. Zbl 1336.65156
Belishev, Mikhail I.; Ivanov, Ivan B.; Kubyshkin, Igor V.; Semenov, Vladimir S.
2016
Boundary control and quasiphotons in the problem of reconstruction of a Riemannian manifold via dynamical data. Zbl 0850.93367
Belishev, M. I.; Kachalov, A. P.
1992
On relations between spectral and dynamical inverse data. Zbl 0992.35114
Belishev, M. I.
2001
An operator integral in a multidimensional spectral inverse problem. Zbl 0916.46033
Belishev, M. I.; Kachalov, A. P.
1994
Elements of noncommutative geometry in inverse problems on manifolds. Zbl 1284.53035
Belishev, M. I.; Demchenko, M. N.
2014
Boundary control method in dynamical inverse problems – an introductory course. Zbl 1426.74175
Belishev, Mikhail I.
2011
A unitary invariant of a semi-bounded operator in reconstruction of manifolds. Zbl 1299.35312
Belishev, M. I.
2013
Time-optimal reconstruction of Riemannian manifold via boundary electromagnetic measurements. Zbl 1279.35069
Belishev, Mikhail I.; Demchenko, Maxim N.
2011
How to see waves under the Earth surface (the BC-method for geophysicists). Zbl 1059.86003
Belishev, M. I.
2002
On revealing graph cycles via boundary measurements. Zbl 1180.35547
2009
Boundary control and inverse problems: the one-dimensional variant of the BC-method. Zbl 1288.93048
Belishev, M. I.
2008
Inverse problem for a one-dimensional dynamical Dirac system (BC-method). Zbl 1306.81317
Belishev, M. I.; Mikhailov, V. S.
2014
Boundary control of the Maxwell dynamical system: Lack of controllability by topological reasons. Zbl 1121.93307
Belishev, Mikhail; Glasman, Aleksandr
2000
Dynamical inverse problem for the Maxwell system: Recovering the velocity in the regular zone (the BC-method). Zbl 1012.78010
Belishev, M. I.; Glasman, A. K.
2000
Dynamical system with boundary control associated with a symmetric semibounded operator. Zbl 1470.93070
Belishev, M. I.; Demchenko, M. N.
2013
On the reconstruction of a metric from external electromagnetic measurements. Zbl 1048.35132
Belishev, M. I.; Isakov, V. M.; Pestov, L. N.; Sharafutdinov, V. A.
2000
Equations of the Gel’fand-Levitan type in a multidimensional inverse problem for the wave equation. Zbl 0729.35073
Belishev, M. I.
1990
Dynamical inverse problem for a Lamé type system. Zbl 1111.35105
Belishev, M. I.
2006
Inverse spectral indefinite problem for the equation $$y''+\lambda p(x)y=0$$ on an interval. Zbl 0657.34026
Belishev, M. I.
1987
Methods of boundary control theory in the nonstationary inverse problem for an inhomogeneous string. Zbl 0835.73044
Belishev, M. I.; Sheronova, T. L.
1990
Characterization of data in the dynamic inverse problem for a two-velocity system. Zbl 0982.35120
Belishev, M. I.; Ivanov, S. A.
1999
Nonstationary inverse problem for the multidimensional wave equation “in the large”. Zbl 0697.35163
Belishev, M. I.; Kurylev, Ya. V.
1987
Wave model of the Sturm-Liouville operator on the half-line. Zbl 1386.34050
Belishev, M. I.; Simonov, S. A.
2018
Spectral variant of the BC method: Theory and numerical testing. Zbl 0842.35132
Belishev, M. I.; Ryzhov, V. A.; Filippov, V. B.
1994
The two-velocity dynamical system: Boundary control of waves and inverse problems. Zbl 0918.35080
Belishev, M.; Blagovestchenskij, A.; Ivanov, S.
1997
Relation between data of dynamic and spectral inverse problems. Zbl 1084.35119
Belishev, M. I.
2003
Boundary control and quasiphotons in a Riemannian manifold reconstruction problem via dynamical data. Zbl 0800.93603
Belishev, M. I.; Kachalov, A. P.
1992
Dynamical inverse problem for the Schrödinger equation (BC-method). Zbl 1194.35496
Avdonin, S. A.; Belishev, M. I.
2005
On the uniqueness of the recovery of parameters of the Maxwell system from dynamical boundary data. Zbl 1082.35161
Belishev, M. I.; Isakov, V. M.
2002
$$s$$-points in three-dimensional acoustical scattering. Zbl 1244.35098
Belishev, M. I.; Vakulenko, A. F.
2010
On algebraic and uniqueness properties of harmonic quaternion fields on 3d manifolds. Zbl 1441.30069
Belishev, M. I.; Vakulenko, A. F.
2019
A wave model of metric spaces. Zbl 1433.54018
Belishev, M. I.; Simonov, S. A.
2019
On the EIT problem for nonorientable surfaces. Zbl 1469.35246
Belishev, M. I.; Korikov, D. V.
2021
A $$C^\ast$$-algebra associated with dynamics on a graph of strings. Zbl 1334.46058
2015
Boundary control of the Maxwell dynamical systems: Lack of controllability by topological reasons. Zbl 1060.93049
Belishev, M.; Glasman, A.
2003
Boundary control and canonical realizations of a two-velocity dynamical system. Zbl 0910.93016
Belishev, M. I.; Ivanov, S. A.
1995
Characterization of the inverse problem data for one-dimensional two-velocity dynamical system. Zbl 1328.35301
Belishev, Mikhail Igorevitch; Pestov, Andrei Leonidovich
2015
Effects connected with the coincidence of velocities in the two-velocity dynamical system. Zbl 1106.35302
Belishev, M. I.; Zurov, A. B.
2000
The inverse problem of acoustic scattering in the space with a local inhomogeneity. Zbl 0621.76087
Belishev, M. I.; Kurylev, Ya. V.
1986
The dynamical inverse problem for a nonselfadjoint Sturm-Liouville operator. Zbl 0991.34021
Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S.
1998
An inverse spectral scattering problem for plane waves in a half-space with a local inhomogeneity. Zbl 0704.35136
Belishev, M. I.; Kurylëv, Ya. V.
1989
Inverse problem of acoustic scattering in a space with a local inhomogeneity. Zbl 0711.76084
Belishev, M. I.; Kurylev, Ya. V.
1990
Dirichlet boundary control in a capture region for the multidimensional wave equation. Zbl 0860.93015
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1991
On approximating properties of solutions of the heat equation. Zbl 1089.35012
Belishev, Mikhail I.
2005
On the boundary controllability of dynamical system described by the wave equation on a class of graphs (on trees). Zbl 1130.93013
Belishev, M. I.
2004
A problem of M. Kac concerning recovery of the shape of a domain from the spectrum of a Dirichlet problem. Zbl 0724.35107
Belishev, M. I.
1991
Methods of the theory of boundary control in the inverse spectral problem for an inhomogeneous string. Zbl 0724.73163
Belishev, M. I.; Kachalov, A. P.
1989
Dynamical inverse problem for the equation $$u_{tt}-\triangle u-\nabla\ln\rho\cdot\nabla u=0$$ (the BC method). Zbl 1155.35483
Belishev, M. I.
2008
On a unitary transform in the space $$L_2(\Omega;\mathbb R^3)$$ connected with the Weyl decomposition. Zbl 1070.35508
Belishev, M. I.
2001
Local uniqueness in the dynamical inverse problem for a two-velocity system. Zbl 1070.35514
Belishev, M. I.; Ivanov, S. A.
2001
Forward dynamical problem for the Timoshenko beam. Zbl 1288.35450
Belishev, M. I.; Pestov, A. L.
2010
The wave model of a metric space with measure and an application. Zbl 1439.35561
Belishev, Mikhaĭl I.; Simonov, Sergeĭ A.
2020
On algebras of three-dimensional quaternion harmonic fields. Zbl 1378.35334
Belishev, M. I.
2017
On a control problem for the wave equation in $$\mathbb R^3$$. Zbl 1162.35013
Belishev, M. I.; Vakulenko, A. F.
2006
Justification of Huygens’ rule. Zbl 0929.35073
Belishev, M. I.
1994
On a unique recovery of lower-order terms in the wave equation from dynamical boundary measurements. Zbl 0961.35173
Belishev, M. I.
1997
Boundary control and dynamical reconstruction of vector fields (the BC-method). Zbl 0906.35053
Belishev, M. I.
1998
The methods of boundary control theory in the inverse spectral problem for an inhomogeneous string. Zbl 0741.73031
Belishev, M. I.; Kachalov, A. P.
1989
Visualization of waves in the Maxwell dynamical system (the BC-method). Zbl 0984.78009
Belishev, M. I.; Glasman, A. K.
1998
Projection in a space of solenoidal vector fields. Zbl 0982.35121
Belishev, M.; Glasman, A.
1999
Nonsteady inverse problem for the multidimensional wave equation “in the large”. Zbl 0711.35145
Belishev, M. I.; Kurylev, Ya. V.
1990
Reconstruction of the parameters of a system of connected beams from dynamic boundary measurements. Zbl 1095.35051
Belishev, M. I.; Ivanov, S. A.
2005
Algebras in reconstruction of manifolds. Zbl 1346.35227
Belishev, M. I.
2015
Reachable and unreachable sets in the scattering problem for the acoustical equation in $${\mathbb{R}}^3$$. Zbl 1171.35321
Belishev, Mikhail I.; Vakulenko, Alexsei F.
2008
Inverse scattering problem for the wave equation with locally perturbed centrifugal potential. Zbl 1170.37030
Belishev, M. I.; Vakulenko, A. F.
2009
On algebras of harmonic quaternion fields in $$\mathbb{R}^3$$. Zbl 1430.30026
Belishev, M. I.; Vakulenko, A. F.
2020
Simplest test for the two-dimensional dynamical inverse problem (BC-Method). Zbl 1439.35560
Belishev, M. I.; Karazeeva, N. A.
2019
On an inverse problem in photoacoustics. Zbl 1412.35204
Belishev, Mikhail I.; Langemann, Dirk; Mikhaylov, Alexander S.; Mikhaylov, Victor S.
2019
On the determination of a nonorientable surface via its Dirichlet-to-Neumann operator. (On determination of nonorientable surface via its Diriclet-to-Neumann operator.) Zbl 1473.35647
Belishev, Mikhail I.; Korikov, Dmitrii V.
2021
On the EIT problem for nonorientable surfaces. Zbl 1469.35246
Belishev, M. I.; Korikov, D. V.
2021
On the determination of a nonorientable surface via its Dirichlet-to-Neumann operator. (On determination of nonorientable surface via its Diriclet-to-Neumann operator.) Zbl 1473.35647
Belishev, Mikhail I.; Korikov, Dmitrii V.
2021
The wave model of a metric space with measure and an application. Zbl 1439.35561
Belishev, Mikhaĭl I.; Simonov, Sergeĭ A.
2020
On algebras of harmonic quaternion fields in $$\mathbb{R}^3$$. Zbl 1430.30026
Belishev, M. I.; Vakulenko, A. F.
2020
On algebraic and uniqueness properties of harmonic quaternion fields on 3d manifolds. Zbl 1441.30069
Belishev, M. I.; Vakulenko, A. F.
2019
A wave model of metric spaces. Zbl 1433.54018
Belishev, M. I.; Simonov, S. A.
2019
Simplest test for the two-dimensional dynamical inverse problem (BC-Method). Zbl 1439.35560
Belishev, M. I.; Karazeeva, N. A.
2019
On an inverse problem in photoacoustics. Zbl 1412.35204
Belishev, Mikhail I.; Langemann, Dirk; Mikhaylov, Alexander S.; Mikhaylov, Victor S.
2019
Wave model of the Sturm-Liouville operator on the half-line. Zbl 1386.34050
Belishev, M. I.; Simonov, S. A.
2018
Boundary control and tomography of Riemannian manifolds (the BC-method). Zbl 1395.35207
Belishev, M. I.
2017
On algebras of three-dimensional quaternion harmonic fields. Zbl 1378.35334
Belishev, M. I.
2017
Numerical testing in determination of sound speed from a part of boundary by the BC-method. Zbl 1336.65156
Belishev, Mikhail I.; Ivanov, Ivan B.; Kubyshkin, Igor V.; Semenov, Vladimir S.
2016
A $$C^\ast$$-algebra associated with dynamics on a graph of strings. Zbl 1334.46058
2015
Characterization of the inverse problem data for one-dimensional two-velocity dynamical system. Zbl 1328.35301
Belishev, Mikhail Igorevitch; Pestov, Andrei Leonidovich
2015
Algebras in reconstruction of manifolds. Zbl 1346.35227
Belishev, M. I.
2015
Elements of noncommutative geometry in inverse problems on manifolds. Zbl 1284.53035
Belishev, M. I.; Demchenko, M. N.
2014
Inverse problem for a one-dimensional dynamical Dirac system (BC-method). Zbl 1306.81317
Belishev, M. I.; Mikhailov, V. S.
2014
A unitary invariant of a semi-bounded operator in reconstruction of manifolds. Zbl 1299.35312
Belishev, M. I.
2013
Dynamical system with boundary control associated with a symmetric semibounded operator. Zbl 1470.93070
Belishev, M. I.; Demchenko, M. N.
2013
Unified approach to classical equations of inverse problem theory. Zbl 1279.35101
Belishev, Mikhail I.; Mikhaylov, Victor S.
2012
Boundary control method in dynamical inverse problems – an introductory course. Zbl 1426.74175
Belishev, Mikhail I.
2011
Time-optimal reconstruction of Riemannian manifold via boundary electromagnetic measurements. Zbl 1279.35069
Belishev, Mikhail I.; Demchenko, Maxim N.
2011
$$s$$-points in three-dimensional acoustical scattering. Zbl 1244.35098
Belishev, M. I.; Vakulenko, A. F.
2010
Forward dynamical problem for the Timoshenko beam. Zbl 1288.35450
Belishev, M. I.; Pestov, A. L.
2010
Geometrization of rings as a method for solving inverse problems. Zbl 1155.35484
Belishev, Mikhail
2009
On revealing graph cycles via boundary measurements. Zbl 1180.35547
2009
Inverse scattering problem for the wave equation with locally perturbed centrifugal potential. Zbl 1170.37030
Belishev, M. I.; Vakulenko, A. F.
2009
Dirichlet to Neumann operator on differential forms. Zbl 1133.58017
2008
Boundary control and inverse problems: the one-dimensional variant of the BC-method. Zbl 1288.93048
Belishev, M. I.
2008
Dynamical inverse problem for the equation $$u_{tt}-\triangle u-\nabla\ln\rho\cdot\nabla u=0$$ (the BC method). Zbl 1155.35483
Belishev, M. I.
2008
Reachable and unreachable sets in the scattering problem for the acoustical equation in $${\mathbb{R}}^3$$. Zbl 1171.35321
Belishev, Mikhail I.; Vakulenko, Alexsei F.
2008
Recent progress in the boundary control method. Zbl 1126.35089
Belishev, M. I.
2007
Inverse problems on graphs: recovering the tree of strings by the BC-method. Zbl 1099.35165
Belishev, M. I.; Vakulenko, A. F.
2006
Dynamical inverse problem for a Lamé type system. Zbl 1111.35105
Belishev, M. I.
2006
On a control problem for the wave equation in $$\mathbb R^3$$. Zbl 1162.35013
Belishev, M. I.; Vakulenko, A. F.
2006
Some remarks on the impedance tomography problem for 3d-manifolds. Zbl 1197.58008
Belishev, M. I.
2005
Dynamical inverse problem for the Schrödinger equation (BC-method). Zbl 1194.35496
Avdonin, S. A.; Belishev, M. I.
2005
On approximating properties of solutions of the heat equation. Zbl 1089.35012
Belishev, Mikhail I.
2005
Reconstruction of the parameters of a system of connected beams from dynamic boundary measurements. Zbl 1095.35051
Belishev, M. I.; Ivanov, S. A.
2005
Boundary spectral inverse problem on a class of graphs (trees) by the BC method. Zbl 1086.35122
Belishev, M. I.
2004
On the boundary controllability of dynamical system described by the wave equation on a class of graphs (on trees). Zbl 1130.93013
Belishev, M. I.
2004
The Caldéron problem for two-dimensional manifolds by the BC-method. Zbl 1048.58019
Belishev, M. I.
2003
Relation between data of dynamic and spectral inverse problems. Zbl 1084.35119
Belishev, M. I.
2003
Boundary control of the Maxwell dynamical systems: Lack of controllability by topological reasons. Zbl 1060.93049
Belishev, M.; Glasman, A.
2003
The dynamical Lamé system: regularity of solutions, boundary controllability and boundary data continuation. Zbl 1064.93019
Belishev, M. I.; Lasiecka, I.
2002
How to see waves under the Earth surface (the BC-method for geophysicists). Zbl 1059.86003
Belishev, M. I.
2002
On the uniqueness of the recovery of parameters of the Maxwell system from dynamical boundary data. Zbl 1082.35161
Belishev, M. I.; Isakov, V. M.
2002
Dynamical systems with boundary control: Models and characterization of inverse data. Zbl 0988.35164
Belishev, M. I.
2001
On relations between spectral and dynamical inverse data. Zbl 0992.35114
Belishev, M. I.
2001
On a unitary transform in the space $$L_2(\Omega;\mathbb R^3)$$ connected with the Weyl decomposition. Zbl 1070.35508
Belishev, M. I.
2001
Local uniqueness in the dynamical inverse problem for a two-velocity system. Zbl 1070.35514
Belishev, M. I.; Ivanov, S. A.
2001
Boundary control of the Maxwell dynamical system: Lack of controllability by topological reasons. Zbl 1121.93307
Belishev, Mikhail; Glasman, Aleksandr
2000
Dynamical inverse problem for the Maxwell system: Recovering the velocity in the regular zone (the BC-method). Zbl 1012.78010
Belishev, M. I.; Glasman, A. K.
2000
On the reconstruction of a metric from external electromagnetic measurements. Zbl 1048.35132
Belishev, M. I.; Isakov, V. M.; Pestov, L. N.; Sharafutdinov, V. A.
2000
Effects connected with the coincidence of velocities in the two-velocity dynamical system. Zbl 1106.35302
Belishev, M. I.; Zurov, A. B.
2000
Dynamical variant of the BC-method: Theory and numerical testing. Zbl 0927.35129
Belishev, M. I.; Gotlib, V. Yu.
1999
Characterization of data in the dynamic inverse problem for a two-velocity system. Zbl 0982.35120
Belishev, M. I.; Ivanov, S. A.
1999
Projection in a space of solenoidal vector fields. Zbl 0982.35121
Belishev, M.; Glasman, A.
1999
The dynamical inverse problem for a nonselfadjoint Sturm-Liouville operator. Zbl 0991.34021
Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S.
1998
Boundary control and dynamical reconstruction of vector fields (the BC-method). Zbl 0906.35053
Belishev, M. I.
1998
Visualization of waves in the Maxwell dynamical system (the BC-method). Zbl 0984.78009
Belishev, M. I.; Glasman, A. K.
1998
Boundary control in reconstruction of manifolds and metrics (the BC method). Zbl 0990.35135
Belishev, M. I.
1997
The BC-method in the inverse problem for the heat equation. Zbl 0886.35166
Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S.
1997
The two-velocity dynamical system: Boundary control of waves and inverse problems. Zbl 0918.35080
Belishev, M.; Blagovestchenskij, A.; Ivanov, S.
1997
On a unique recovery of lower-order terms in the wave equation from dynamical boundary measurements. Zbl 0961.35173
Belishev, M. I.
1997
Boundary control and dynamical inverse problem for nonselfadjoint Sturm-Liouville operator (BC-method). Zbl 0859.93030
Avdonin, Sergei; Belishev, Mikhail
1996
Canonical model of a dynamical system with boundary control in the inverse problem heat of conductivity. Zbl 0866.35134
Belishev, M. I.
1995
Boundary control and canonical realizations of a two-velocity dynamical system. Zbl 0910.93016
Belishev, M. I.; Ivanov, S. A.
1995
Controllability in a filled domain for a multidimensional wave equation with the singular boundary control. Zbl 0870.93004
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1994
An operator integral in a multidimensional spectral inverse problem. Zbl 0916.46033
Belishev, M. I.; Kachalov, A. P.
1994
Spectral variant of the BC method: Theory and numerical testing. Zbl 0842.35132
Belishev, M. I.; Ryzhov, V. A.; Filippov, V. B.
1994
Justification of Huygens’ rule. Zbl 0929.35073
Belishev, M. I.
1994
To the reconstruction of a Riemannian manifold via its spectral data (BC- method). Zbl 0812.58094
Belishev, Michael I.; Kurylev, Yaroslav V.
1992
Boundary control and a matrix inverse problem for the equation $$u_{tt}- u_{xx}+V(x)u=0$$. Zbl 0782.93054
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1992
Boundary control and quasiphotons in the problem of reconstruction of a Riemannian manifold via dynamical data. Zbl 0850.93367
Belishev, M. I.; Kachalov, A. P.
1992
Boundary control and quasiphotons in a Riemannian manifold reconstruction problem via dynamical data. Zbl 0800.93603
Belishev, M. I.; Kachalov, A. P.
1992
Boundary control, wave field continuation and inverse problems for the wave equation. Zbl 0768.35077
Belishev, Michael I.; Kurylev, Yaroslav V.
1991
Boundary control and an inverse matrix problem for the equation $$u_{tt}-u_{xx}+V(x)u=O$$. Zbl 0735.93042
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1991
Dirichlet boundary control in a capture region for the multidimensional wave equation. Zbl 0860.93015
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1991
A problem of M. Kac concerning recovery of the shape of a domain from the spectrum of a Dirichlet problem. Zbl 0724.35107
Belishev, M. I.
1991
Wave bases in multidimensional inverse problems. Zbl 0698.35164
Belishev, M. I.
1990
Equations of the Gel’fand-Levitan type in a multidimensional inverse problem for the wave equation. Zbl 0729.35073
Belishev, M. I.
1990
Methods of boundary control theory in the nonstationary inverse problem for an inhomogeneous string. Zbl 0835.73044
Belishev, M. I.; Sheronova, T. L.
1990
Inverse problem of acoustic scattering in a space with a local inhomogeneity. Zbl 0711.76084
Belishev, M. I.; Kurylev, Ya. V.
1990
Nonsteady inverse problem for the multidimensional wave equation “in the large”. Zbl 0711.35145
Belishev, M. I.; Kurylev, Ya. V.
1990
An inverse spectral scattering problem for plane waves in a half-space with a local inhomogeneity. Zbl 0704.35136
Belishev, M. I.; Kurylëv, Ya. V.
1989
Methods of the theory of boundary control in the inverse spectral problem for an inhomogeneous string. Zbl 0724.73163
Belishev, M. I.; Kachalov, A. P.
1989
The methods of boundary control theory in the inverse spectral problem for an inhomogeneous string. Zbl 0741.73031
Belishev, M. I.; Kachalov, A. P.
1989
On an approach to multidimensional inverse problems for the wave equation. Zbl 0661.35084
Belishev, M. I.
1988
Equations of Gel’fand-Levitan type in multidimensional inverse problem for the wave equation. Zbl 0695.35111
Belishev, M. I.
1987
Inverse spectral indefinite problem for the equation $$y''+\lambda p(x)y=0$$ on an interval. Zbl 0657.34026
Belishev, M. I.
1987
Nonstationary inverse problem for the multidimensional wave equation “in the large”. Zbl 0697.35163
Belishev, M. I.; Kurylev, Ya. V.
1987
The inverse problem of acoustic scattering in the space with a local inhomogeneity. Zbl 0621.76087
Belishev, M. I.; Kurylev, Ya. V.
1986
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