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Author ID: novikov.roman-g Recent zbMATH articles by "Novikov, Roman G."
Published as: Novikov, R. G.; Novikov, Roman G.; Novikov, Roman; Novikov, R.
all top 5

Serials

20 Inverse Problems
9 Russian Mathematical Surveys
8 Journal of Inverse and Ill-Posed Problems
7 The Journal of Geometric Analysis
6 Bulletin des Sciences Mathématiques
5 Functional Analysis and its Applications
5 Comptes Rendus de l’Académie des Sciences. Série I
3 Physics Letters. A
3 Theoretical and Mathematical Physics
3 Arkiv för Matematik
2 Communications in Mathematical Physics
2 Journal of Mathematical Physics
2 Journal of Functional Analysis
2 Soviet Mathematics. Doklady
1 Letters in Mathematical Physics
1 Nonlinearity
1 Funktsional’nyĭ Analiz i ego Prilozheniya
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Studies in Applied Mathematics
1 IMRN. International Mathematics Research Notices
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Séminaire Équations aux Dérivées Partielles
1 St. Petersburg Mathematical Journal
1 Selecta Mathematica. New Series
1 Sbornik: Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Journal of Nonlinear Mathematical Physics
1 Moscow Mathematical Journal
1 Journal of the Institute of Mathematics of Jussieu
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 IMRP. International Mathematics Research Papers
1 Inverse Problems in Science and Engineering
1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
1 Proceedings of the Steklov Institute of Mathematics
1 Séminaire Laurent Schwartz. EDP et Applications

Publications by Year

Citations contained in zbMATH Open

89 Publications have been cited 855 times in 400 Documents Cited by Year
Multidimensional inverse spectral problem for the equation \(-\Delta \psi -(v(x)-Eu(x))\psi =0\). Zbl 0689.35098
Novikov, R. G.
98
1988
The inverse scattering problem on a fixed energy level for two- dimensional Schrödinger operator. Zbl 0762.35077
Novikov, R. G.
58
1992
An inversion formula for the attenuated \(X\)-ray transformation. Zbl 1036.53056
Novikov, Roman G.
52
2002
The \({\bar \partial}\)-equation in the multidimensional inverse scattering problem. Zbl 0674.35085
Novikov, R. G.; Khenkin, G. M.
50
1987
Formulas for phase recovering from phaseless scattering data at fixed frequency. Zbl 1330.35277
Novikov, R. G.
36
2015
Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions. Zbl 1338.81361
Novikov, R. G.
31
2016
The inverse scattering problem at fixed energy for the three-dimensional Schrödinger equation with an exponentially decreasing potential. Zbl 0803.35166
Novikov, Roman G.
26
1994
The \(\bar\partial\)-approach to approximate inverse scattering at fixed energy in three dimensions. Zbl 1284.35464
Novikov, R. G.
23
2005
On the range characterization for the two-dimensional attenuated x-ray transformation. Zbl 1004.44001
Novikov, R. G.
21
2002
Transparent potentials at fixed energy in dimension two. Fixed-energy dispersion relations for the fast decaying potentials. Zbl 0843.35090
Grinevich, Piotr G.; Novikov, Roman G.
20
1995
New global stability estimates for the Gel’fand-Calderón inverse problem. Zbl 1208.35173
Novikov, R. G.
17
2011
An iterative approach to non-overdetermined inverse scattering at fixed energy. Zbl 1327.35444
Novikov, R. G.
17
2015
On determination of a gauge field on \({\mathbb R}^d\) from its non-abelian Radon transform along oriented straight lines. Zbl 1072.53023
Novikov, R. G.
16
2002
A multidimensional inverse problem in quantum and acoustic scattering. Zbl 0697.35108
Khenkin, G. M.; Novikov, R. G.
14
1988
A global stability estimate for the Gel’fand-Calderón inverse problem in two dimensions. Zbl 1279.35120
Novikov, Roman; Santacesaria, Matteo
14
2010
Reconstruction of a two-dimensional Schrödinger operator from the scattering amplitude for fixed energy. Zbl 0637.35067
Novikov, R. G.
13
1986
Inversion of weighted Radon transforms via finite Fourier series weight approximations. Zbl 1329.65326
Guillement, J.-P.; Novikov, R. G.
12
2014
New global stability estimates for monochromatic inverse acoustic scattering. Zbl 1302.35443
Isaev, M. I.; Novikov, R. G.
12
2013
A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy. Zbl 1375.35120
Lakshtanov, Evgeny L.; Novikov, Roman G.; Vainberg, Boris R.
11
2016
The \(\bar{\partial}\)-approach to monochromatic inverse scattering in three dimensions. Zbl 1144.81032
Novikov, R. G.
10
2008
Small angle scattering and \(X\)-ray transform in classical mechanics. Zbl 1088.70009
Novikov, Roman G.
10
1999
Construction of a two-dimensional Schrödinger operator with given scattering amplitude at fixed energy. Zbl 0615.35023
Novikov, R. G.
10
1986
Global uniqueness and reconstruction for the multi-channel Gel’fand-Calderón inverse problem in two dimensions. Zbl 1228.35271
Novikov, Roman G.; Santacesaria, Matteo
10
2011
An iterative approach to monochromatic phaseless inverse scattering. Zbl 07000901
Agaltsov, A. D.; Hohage, T.; Novikov, R. G.
10
2019
Approximate inverse quantum scattering at fixed energy in dimension 2. Zbl 0980.81058
Novikov, R. G.
9
1999
An inversion formula for the attenuated X-ray transformation. (Une formule d’inversion pour la transformation d’un rayonnement X atténué.) Zbl 0984.44001
Novikov, Roman G.
9
2001
Formulae and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential. Zbl 1063.35152
Novikov, R. G.
9
2005
Analogues of multisoliton potentials for the two-dimensional Schrödinger operator, and a nonlocal Riemann problem. Zbl 0616.35071
Grinevich, P. G.; Novikov, R. G.
9
1986
On the reconstruction of conductivity of a bordered two-dimensional surface in \(\mathbb R^3\) from electrical current measurements on its boundary. Zbl 1227.35244
Henkin, G. M.; Novikov, R. G.
9
2011
Faddeev eigenfunctions for point potentials in two dimensions. Zbl 1255.81137
Grinevich, P. G.; Novikov, R. G.
9
2012
On the problem of polarization tomography. I. Zbl 1124.53033
Novikov, Roman; Sharafutdinov, Vladimir
9
2007
Riemann-Hilbert problem approach for two-dimensional flow inverse scattering. Zbl 1305.81133
Agaltsov, A. D.; Novikov, R. G.
9
2014
Monochromatic reconstruction algorithms for two-dimensional multi-channel inverse problems. Zbl 1316.35266
Novikov, Roman G.; Santacesaria, Matteo
9
2013
Rapidly converging approximation in inverse quantum scattering in dimension \(2\). Zbl 1044.81760
Novikov, Roman G.
8
1998
Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy. Zbl 1242.35196
Novikov, R. G.
8
2011
Moutard transform for generalized analytic functions. Zbl 1358.30019
Grinevich, P. G.; Novikov, R. G.
7
2016
\(\overline\partial\)-method with nonzero background potential. Application to inverse scattering for the two-dimensional acoustic equation. Zbl 0855.35130
Novikov, Roman G.
6
1996
Analogs of multisoliton potentials for the two-dimensional Schrödinger operator. Zbl 0657.35122
Grinevich, P. G.; Novikov, R. G.
6
1985
On single-photon emission computed tomography imaging based on an exact formula for the nonuniform attenuation correction. Zbl 1015.65074
Guillement, J.-P.; Jauberteau, F.; Kunyansky, L.; Novikov, R.; Trebossen, R.
6
2002
Discrete analogues of \(\bar \partial\)-equation and of Radon transform. Zbl 0748.35054
Fokas, Athanasis S.; Novikov, Roman G.
6
1991
Inverse scattering without phase information. Zbl 1352.81056
Novikov, R. G.
6
2016
Generalized analytic functions, Moutard-type transforms, and holomorphic maps. Zbl 1355.30041
Grinevich, P. G.; Novikov, R. G.
6
2016
Two-dimensional von Neumann-Wigner potentials with a multiple positive eigenvalue. Zbl 1333.35133
Novikov, R. G.; Taimanov, I. A.; Tsarev, S. P.
6
2014
Weighted Radon transforms and first order differential systems on the plane. Zbl 1337.44002
Novikov, R. G.
5
2014
Oscillating weakly localized solutions of the Korteweg-de Vries equation. Zbl 0563.35071
Novikov, R. G.; Khenkin, G. M.
5
1984
Large time asymptotics for the Grinevich-Zakharov potentials. Zbl 1219.35237
Kazeykina, A. V.; Novikov, R. G.
5
2011
A large time asymptotics for transparent potentials for the Novikov-Veselov equation at positive energy. Zbl 1228.35203
Kazeykina, A. V.; Novikov, R. G.
5
2011
Moutard transform approach to generalized analytic functions with contour poles. Zbl 1351.30034
Grinevich, P. G.; Novikov, R. G.
5
2016
Energy and regularity dependent stability estimates for the Gelfand inverse problem in multidimensions. Zbl 1279.35106
Isaev, Mikhail I.; Novikov, Roman G.
5
2012
An example of non-uniqueness for the weighted Radon transforms along hyperplanes in multidimensions. Zbl 1394.44001
Goncharov, F. O.; Novikov, R. G.
4
2018
Analogues of multisoliton potentials for the two-dimensional Schrödinger operator. Zbl 0606.35072
Grinevich, P. G.; Novikov, R. G.
4
1985
Absence of exponentially localized solitons for the Novikov-Veselov equation at negative energy. Zbl 1221.35340
Kazeykina, A. V.; Novikov, R. G.
4
2011
Effectivized Hölder-logarithmic stability estimates for the Gel’fand inverse problem. Zbl 1301.35213
Isaev, M. I.; Novikov, R. G.
4
2014
Monochromatic identities for the Green function and uniqueness results for passive imaging. Zbl 1409.35234
Agaltsov, Alexey D.; Hohage, Thorsten; Novikov, Roman G.
4
2018
Editorial: Inverse wave propagation problems without phase information. Zbl 1416.00026
4
2019
Hölder-logarithmic stability in Fourier synthesis. Zbl 1453.42008
Isaev, Mikhail; Novikov, Roman G.
4
2020
On determination of the Fourier transform of a potential from the scattering amplitude. Zbl 0996.35059
Novikov, R. G.
3
2001
Inverse scattering up to smooth functions for the Schrödinger equation in one dimension. Zbl 0874.34068
Novikov, Roman G.
3
1996
Inverse scattering up to smooth functions for the Dirac-ZS-AKNS system. Zbl 0902.35105
Novikov, Roman G.
3
1997
Solutions rationnelles des équations de type Korteweg-de Vries en dimension \(2+1\) et problèmes à \(m\) corps sur la droite. (Rational solutions of KdV type equations in dimension \(2+1\) and \(m\)-body problems on the line). Zbl 0752.35060
Françoise, Jean-Pierre; Novikov, Roman G.
3
1992
On inverse scattering for the \(N\)-body Schrödinger equation. Zbl 0928.35208
Novikov, Roman G.
3
1998
Uniqueness and non-uniqueness in acoustic tomography of moving fluid. Zbl 1338.35489
Agaltsov, Alexey D.; Novikov, Roman G.
3
2016
The Cauchy kernel for the Novikov-Dynnikov DN-discrete complex analysis in triangular lattices. Zbl 1141.39019
Grinevich, P. G.; Novikov, R. G.
3
2007
Moutard type transformation for matrix generalized analytic functions and gauge transformations. Zbl 1367.30035
Novikov, R. G.; Taimanov, I. A.
3
2016
Moutard transforms for the conductivity equation. Zbl 1430.35227
Grinevich, P. G.; Novikov, R. G.
3
2019
Examples of solution of the inverse scattering problem and the equations of the Novikov-Veselov hierarchy from the scattering data of point potentials. Zbl 1440.35051
Agal’tsov, A. D.; Novikov, R. G.
2
2019
Multipoint formulas for phase recovering from phaseless scattering data. Zbl 1473.35139
Novikov, R. G.
2
2021
Reconstruction of an exponentially decreasing potential for the three- dimensional Schrödinger equation through the scattering amplitude at fixed energy. Zbl 0799.35052
Novikov, Roman G.
2
1993
An effectivization of the global reconstruction in the Gel’fand-Calderón inverse problem in three dimensions. Zbl 1183.35271
Novikov, R. G.
2
2009
Weighted Radon transforms for which Chang’s approximate inversion formula is exact. Zbl 1221.44006
Novikov, R. G.
2
2011
On stable determination of potential by boundary measurements. Zbl 1165.35483
Novikov, R. G.; Novikova, N. N.
2
2008
On Wiener-type filters in SPECT. Zbl 1137.78307
Guillement, J-P; Novikov, R. G.
2
2008
Approximate Lipschitz stability for non-overdetermined inverse scattering at fixed energy. Zbl 1278.35269
Novikov, Roman G.
2
2013
The Moutard transformation and two-dimensional multipoint delta-type potentials. Zbl 1287.37051
Novikov, R. G.; Taimanov, I. A.
2
2013
Darboux-Moutard transformations and Poincaré-Steklov operators. Zbl 1428.35683
Novikov, R. G.; Taĭmanov, I. A.
1
2018
Phaseless inverse scattering with background information. Zbl 1473.35140
Novikov, R. G.; Sivkin, V. N.
1
2021
Stability estimates for reconstruction from the Fourier transform on the ball. Zbl 1468.42007
Isaev, Mikhail; Novikov, Roman G.
1
2021
Solution of a multidimensional inverse scattering problem on the basis of generalized dispersion relations. Zbl 0636.35064
Novikov, R. G.; Khenkin, G. M.
1
1987
About asymptotic formulas for the inverse Radon transform. Zbl 1019.44002
Novikov, R. G.
1
2002
New differential equations in the mKdV hierarchy. Zbl 0754.35133
Beals, Richard; Novikov, Roman G.
1
1992
On non-overdetermined inverse scattering at zero energy in three dimensions. Zbl 1121.35143
Novikov, Roman G.
1
2006
Yang-Mills fields, Radon-Penrose transform and Cauchy-Riemann equations. Zbl 0706.53047
Novikov, R. G.; Khenkin, G. M.
1
1989
Optimized analytic reconstruction for SPECT. Zbl 1279.65140
Guillement, Jean-Pol; Novikov, Roman G.
1
2012
Stability estimates for recovering the potential by the impedance boundary map. Zbl 1285.35006
Isaev, M. I.; Novikov, R. G.
1
2014
An example of non-uniqueness for Radon transforms with continuous positive rotation invariant weights. Zbl 1405.44005
Goncharov, F. O.; Novikov, R. G.
1
2018
Error estimates for phaseless inverse scattering in the Born approximation at high energies. Zbl 1447.35127
Agaltsov, A. D.; Novikov, R. G.
1
2020
Non-abelian Radon transform and its applications. Zbl 1454.44003
Novikov, R. G.
1
2019
Multipoint formulas for scattered far field in multidimensions. Zbl 1467.35110
Novikov, R. G.
1
2020
Creation and annihilation of point-potentials using Moutard-type transform in spectral variable. Zbl 1454.81064
Grinevich, P. G.; Novikov, R. G.
1
2020
Multipoint formulas for phase recovering from phaseless scattering data. Zbl 1473.35139
Novikov, R. G.
2
2021
Phaseless inverse scattering with background information. Zbl 1473.35140
Novikov, R. G.; Sivkin, V. N.
1
2021
Stability estimates for reconstruction from the Fourier transform on the ball. Zbl 1468.42007
Isaev, Mikhail; Novikov, Roman G.
1
2021
Hölder-logarithmic stability in Fourier synthesis. Zbl 1453.42008
Isaev, Mikhail; Novikov, Roman G.
4
2020
Error estimates for phaseless inverse scattering in the Born approximation at high energies. Zbl 1447.35127
Agaltsov, A. D.; Novikov, R. G.
1
2020
Multipoint formulas for scattered far field in multidimensions. Zbl 1467.35110
Novikov, R. G.
1
2020
Creation and annihilation of point-potentials using Moutard-type transform in spectral variable. Zbl 1454.81064
Grinevich, P. G.; Novikov, R. G.
1
2020
An iterative approach to monochromatic phaseless inverse scattering. Zbl 07000901
Agaltsov, A. D.; Hohage, T.; Novikov, R. G.
10
2019
Editorial: Inverse wave propagation problems without phase information. Zbl 1416.00026
4
2019
Moutard transforms for the conductivity equation. Zbl 1430.35227
Grinevich, P. G.; Novikov, R. G.
3
2019
Examples of solution of the inverse scattering problem and the equations of the Novikov-Veselov hierarchy from the scattering data of point potentials. Zbl 1440.35051
Agal’tsov, A. D.; Novikov, R. G.
2
2019
Non-abelian Radon transform and its applications. Zbl 1454.44003
Novikov, R. G.
1
2019
An example of non-uniqueness for the weighted Radon transforms along hyperplanes in multidimensions. Zbl 1394.44001
Goncharov, F. O.; Novikov, R. G.
4
2018
Monochromatic identities for the Green function and uniqueness results for passive imaging. Zbl 1409.35234
Agaltsov, Alexey D.; Hohage, Thorsten; Novikov, Roman G.
4
2018
Darboux-Moutard transformations and Poincaré-Steklov operators. Zbl 1428.35683
Novikov, R. G.; Taĭmanov, I. A.
1
2018
An example of non-uniqueness for Radon transforms with continuous positive rotation invariant weights. Zbl 1405.44005
Goncharov, F. O.; Novikov, R. G.
1
2018
Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions. Zbl 1338.81361
Novikov, R. G.
31
2016
A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy. Zbl 1375.35120
Lakshtanov, Evgeny L.; Novikov, Roman G.; Vainberg, Boris R.
11
2016
Moutard transform for generalized analytic functions. Zbl 1358.30019
Grinevich, P. G.; Novikov, R. G.
7
2016
Inverse scattering without phase information. Zbl 1352.81056
Novikov, R. G.
6
2016
Generalized analytic functions, Moutard-type transforms, and holomorphic maps. Zbl 1355.30041
Grinevich, P. G.; Novikov, R. G.
6
2016
Moutard transform approach to generalized analytic functions with contour poles. Zbl 1351.30034
Grinevich, P. G.; Novikov, R. G.
5
2016
Uniqueness and non-uniqueness in acoustic tomography of moving fluid. Zbl 1338.35489
Agaltsov, Alexey D.; Novikov, Roman G.
3
2016
Moutard type transformation for matrix generalized analytic functions and gauge transformations. Zbl 1367.30035
Novikov, R. G.; Taimanov, I. A.
3
2016
Formulas for phase recovering from phaseless scattering data at fixed frequency. Zbl 1330.35277
Novikov, R. G.
36
2015
An iterative approach to non-overdetermined inverse scattering at fixed energy. Zbl 1327.35444
Novikov, R. G.
17
2015
Inversion of weighted Radon transforms via finite Fourier series weight approximations. Zbl 1329.65326
Guillement, J.-P.; Novikov, R. G.
12
2014
Riemann-Hilbert problem approach for two-dimensional flow inverse scattering. Zbl 1305.81133
Agaltsov, A. D.; Novikov, R. G.
9
2014
Two-dimensional von Neumann-Wigner potentials with a multiple positive eigenvalue. Zbl 1333.35133
Novikov, R. G.; Taimanov, I. A.; Tsarev, S. P.
6
2014
Weighted Radon transforms and first order differential systems on the plane. Zbl 1337.44002
Novikov, R. G.
5
2014
Effectivized Hölder-logarithmic stability estimates for the Gel’fand inverse problem. Zbl 1301.35213
Isaev, M. I.; Novikov, R. G.
4
2014
Stability estimates for recovering the potential by the impedance boundary map. Zbl 1285.35006
Isaev, M. I.; Novikov, R. G.
1
2014
New global stability estimates for monochromatic inverse acoustic scattering. Zbl 1302.35443
Isaev, M. I.; Novikov, R. G.
12
2013
Monochromatic reconstruction algorithms for two-dimensional multi-channel inverse problems. Zbl 1316.35266
Novikov, Roman G.; Santacesaria, Matteo
9
2013
Approximate Lipschitz stability for non-overdetermined inverse scattering at fixed energy. Zbl 1278.35269
Novikov, Roman G.
2
2013
The Moutard transformation and two-dimensional multipoint delta-type potentials. Zbl 1287.37051
Novikov, R. G.; Taimanov, I. A.
2
2013
Faddeev eigenfunctions for point potentials in two dimensions. Zbl 1255.81137
Grinevich, P. G.; Novikov, R. G.
9
2012
Energy and regularity dependent stability estimates for the Gelfand inverse problem in multidimensions. Zbl 1279.35106
Isaev, Mikhail I.; Novikov, Roman G.
5
2012
Optimized analytic reconstruction for SPECT. Zbl 1279.65140
Guillement, Jean-Pol; Novikov, Roman G.
1
2012
New global stability estimates for the Gel’fand-Calderón inverse problem. Zbl 1208.35173
Novikov, R. G.
17
2011
Global uniqueness and reconstruction for the multi-channel Gel’fand-Calderón inverse problem in two dimensions. Zbl 1228.35271
Novikov, Roman G.; Santacesaria, Matteo
10
2011
On the reconstruction of conductivity of a bordered two-dimensional surface in \(\mathbb R^3\) from electrical current measurements on its boundary. Zbl 1227.35244
Henkin, G. M.; Novikov, R. G.
9
2011
Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy. Zbl 1242.35196
Novikov, R. G.
8
2011
Large time asymptotics for the Grinevich-Zakharov potentials. Zbl 1219.35237
Kazeykina, A. V.; Novikov, R. G.
5
2011
A large time asymptotics for transparent potentials for the Novikov-Veselov equation at positive energy. Zbl 1228.35203
Kazeykina, A. V.; Novikov, R. G.
5
2011
Absence of exponentially localized solitons for the Novikov-Veselov equation at negative energy. Zbl 1221.35340
Kazeykina, A. V.; Novikov, R. G.
4
2011
Weighted Radon transforms for which Chang’s approximate inversion formula is exact. Zbl 1221.44006
Novikov, R. G.
2
2011
A global stability estimate for the Gel’fand-Calderón inverse problem in two dimensions. Zbl 1279.35120
Novikov, Roman; Santacesaria, Matteo
14
2010
An effectivization of the global reconstruction in the Gel’fand-Calderón inverse problem in three dimensions. Zbl 1183.35271
Novikov, R. G.
2
2009
The \(\bar{\partial}\)-approach to monochromatic inverse scattering in three dimensions. Zbl 1144.81032
Novikov, R. G.
10
2008
On stable determination of potential by boundary measurements. Zbl 1165.35483
Novikov, R. G.; Novikova, N. N.
2
2008
On Wiener-type filters in SPECT. Zbl 1137.78307
Guillement, J-P; Novikov, R. G.
2
2008
On the problem of polarization tomography. I. Zbl 1124.53033
Novikov, Roman; Sharafutdinov, Vladimir
9
2007
The Cauchy kernel for the Novikov-Dynnikov DN-discrete complex analysis in triangular lattices. Zbl 1141.39019
Grinevich, P. G.; Novikov, R. G.
3
2007
On non-overdetermined inverse scattering at zero energy in three dimensions. Zbl 1121.35143
Novikov, Roman G.
1
2006
The \(\bar\partial\)-approach to approximate inverse scattering at fixed energy in three dimensions. Zbl 1284.35464
Novikov, R. G.
23
2005
Formulae and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential. Zbl 1063.35152
Novikov, R. G.
9
2005
An inversion formula for the attenuated \(X\)-ray transformation. Zbl 1036.53056
Novikov, Roman G.
52
2002
On the range characterization for the two-dimensional attenuated x-ray transformation. Zbl 1004.44001
Novikov, R. G.
21
2002
On determination of a gauge field on \({\mathbb R}^d\) from its non-abelian Radon transform along oriented straight lines. Zbl 1072.53023
Novikov, R. G.
16
2002
On single-photon emission computed tomography imaging based on an exact formula for the nonuniform attenuation correction. Zbl 1015.65074
Guillement, J.-P.; Jauberteau, F.; Kunyansky, L.; Novikov, R.; Trebossen, R.
6
2002
About asymptotic formulas for the inverse Radon transform. Zbl 1019.44002
Novikov, R. G.
1
2002
An inversion formula for the attenuated X-ray transformation. (Une formule d’inversion pour la transformation d’un rayonnement X atténué.) Zbl 0984.44001
Novikov, Roman G.
9
2001
On determination of the Fourier transform of a potential from the scattering amplitude. Zbl 0996.35059
Novikov, R. G.
3
2001
Small angle scattering and \(X\)-ray transform in classical mechanics. Zbl 1088.70009
Novikov, Roman G.
10
1999
Approximate inverse quantum scattering at fixed energy in dimension 2. Zbl 0980.81058
Novikov, R. G.
9
1999
Rapidly converging approximation in inverse quantum scattering in dimension \(2\). Zbl 1044.81760
Novikov, Roman G.
8
1998
On inverse scattering for the \(N\)-body Schrödinger equation. Zbl 0928.35208
Novikov, Roman G.
3
1998
Inverse scattering up to smooth functions for the Dirac-ZS-AKNS system. Zbl 0902.35105
Novikov, Roman G.
3
1997
\(\overline\partial\)-method with nonzero background potential. Application to inverse scattering for the two-dimensional acoustic equation. Zbl 0855.35130
Novikov, Roman G.
6
1996
Inverse scattering up to smooth functions for the Schrödinger equation in one dimension. Zbl 0874.34068
Novikov, Roman G.
3
1996
Transparent potentials at fixed energy in dimension two. Fixed-energy dispersion relations for the fast decaying potentials. Zbl 0843.35090
Grinevich, Piotr G.; Novikov, Roman G.
20
1995
The inverse scattering problem at fixed energy for the three-dimensional Schrödinger equation with an exponentially decreasing potential. Zbl 0803.35166
Novikov, Roman G.
26
1994
Reconstruction of an exponentially decreasing potential for the three- dimensional Schrödinger equation through the scattering amplitude at fixed energy. Zbl 0799.35052
Novikov, Roman G.
2
1993
The inverse scattering problem on a fixed energy level for two- dimensional Schrödinger operator. Zbl 0762.35077
Novikov, R. G.
58
1992
Solutions rationnelles des équations de type Korteweg-de Vries en dimension \(2+1\) et problèmes à \(m\) corps sur la droite. (Rational solutions of KdV type equations in dimension \(2+1\) and \(m\)-body problems on the line). Zbl 0752.35060
Françoise, Jean-Pierre; Novikov, Roman G.
3
1992
New differential equations in the mKdV hierarchy. Zbl 0754.35133
Beals, Richard; Novikov, Roman G.
1
1992
Discrete analogues of \(\bar \partial\)-equation and of Radon transform. Zbl 0748.35054
Fokas, Athanasis S.; Novikov, Roman G.
6
1991
Yang-Mills fields, Radon-Penrose transform and Cauchy-Riemann equations. Zbl 0706.53047
Novikov, R. G.; Khenkin, G. M.
1
1989
Multidimensional inverse spectral problem for the equation \(-\Delta \psi -(v(x)-Eu(x))\psi =0\). Zbl 0689.35098
Novikov, R. G.
98
1988
A multidimensional inverse problem in quantum and acoustic scattering. Zbl 0697.35108
Khenkin, G. M.; Novikov, R. G.
14
1988
The \({\bar \partial}\)-equation in the multidimensional inverse scattering problem. Zbl 0674.35085
Novikov, R. G.; Khenkin, G. M.
50
1987
Solution of a multidimensional inverse scattering problem on the basis of generalized dispersion relations. Zbl 0636.35064
Novikov, R. G.; Khenkin, G. M.
1
1987
Reconstruction of a two-dimensional Schrödinger operator from the scattering amplitude for fixed energy. Zbl 0637.35067
Novikov, R. G.
13
1986
Construction of a two-dimensional Schrödinger operator with given scattering amplitude at fixed energy. Zbl 0615.35023
Novikov, R. G.
10
1986
Analogues of multisoliton potentials for the two-dimensional Schrödinger operator, and a nonlocal Riemann problem. Zbl 0616.35071
Grinevich, P. G.; Novikov, R. G.
9
1986
Analogs of multisoliton potentials for the two-dimensional Schrödinger operator. Zbl 0657.35122
Grinevich, P. G.; Novikov, R. G.
6
1985
Analogues of multisoliton potentials for the two-dimensional Schrödinger operator. Zbl 0606.35072
Grinevich, P. G.; Novikov, R. G.
4
1985
Oscillating weakly localized solutions of the Korteweg-de Vries equation. Zbl 0563.35071
Novikov, R. G.; Khenkin, G. M.
5
1984
all top 5

Cited by 381 Authors

45 Novikov, Roman G.
32 Klibanov, Michael V.
20 Uhlmann, Gunther Alberto
13 Nguyen, Loc Hoang
12 Romanov, Vladimir Gavrilovich
11 Lassas, Matti J.
11 Santacesaria, Matteo
10 Grinevich, Pëtr Georgievich
10 Salo, Mikko
8 Eskin, Gregory
8 Isaev, Mikhail Ismailovitch
8 Paternain, Gabriel Pedro
8 Siltanen, Samuli
8 Zhang, Bo
8 Zhang, Haiwen
7 Agaltsov, Alexey D.
7 Hohage, Thorsten
7 Kurylëv, Yaroslav Vadimovich
7 Tzou, Leo
6 Isozaki, Hiroshi
6 Monard, François
6 Nguyen, Dinh Liem
6 Ralston, James V.
6 Sadiq, Kamran
6 Tamasan, Alexandru
6 Wang, Jinping
6 Yamamoto, Masahiro
5 de Hoop, Maarten V.
5 Fokas, Athanassios S.
5 Guillarmou, Colin
5 Lakshtanov, Evgeny L.
5 Mueller, Jennifer L.
5 Nicoleau, François
5 Päivärinta, Lassi
5 Ramm, Alexander G.
5 Stefanov, Plamen D.
5 Taimanov, Iskander Asanovich
4 Beilina, Larisa
4 Guo, Yukun
4 Imanuvilov, Oleg Yu.
4 Jollivet, Alexandre
4 Kazeykina, A. V.
4 Khenkin, Gennadiĭ Markovich
4 Kuchment, Peter A.
4 Li, Jingzhi
4 Nguyen, Lam H.
4 Novikov, Sergeĭ Petrovich
4 Sullivan, Anders J.
4 Vaĭnberg, Boris Rufimovich
4 Weder, Ricardo A.
4 Xu, Xiaoxu
4 Zhang, Deyue
3 Addam, Mohamed
3 Alberti, Giovanni S.
3 Assylbekov, Yernat M.
3 Astratov, Vasily N.
3 Bal, Guillaume
3 Beretta, Elena
3 Daudé, Thierry
3 Fujiwara, Hiroshi
3 Goncharov, Fedor O.
3 Ilmavirta, Joonas
3 Karchevsky, Andrey Leonidovich
3 Kazeykina, Anna
3 Khoa, Vo Anh
3 Knudsen, Kim M.
3 Kolesov, Aleksandr Egorovich
3 Nickl, Richard
3 Pantong, Natee
3 Perry, Peter A.
3 Polyakov, Peter L.
3 Rüland, Angkana
3 Scherzer, Otmar
3 Sun, Ziqi
3 Tamminen, Janne P.
3 Tsarev, Sergej Petrovich
3 Watanabe, Michiyuki
3 Zhou, Hanming
2 Abhishek, Anuj
2 Alsaker, Melody
2 Andersson, Joel A. E.
2 Arians, Silke
2 Bakushinskĭ, Anatoliĭ Borisovich B.
2 Barceló, Juan Antonio
2 Belishev, Mikhail Igorevitch
2 Bidney, Grant W.
2 Boman, Jan
2 Bouhamidi, Abderrahman
2 Caro, Pedro
2 Colton, David Lem
2 de Pierro, Alvaro Rodolfo
2 Dedok, V. A.
2 Dos Santos Ferreira, David
2 Faucher, Florian
2 Fiddy, Michael A.
2 Greenleaf, Allan
2 Hamilton, Sarah Jane
2 Hauptmann, Andreas
2 Holman, Sean F.
2 Hubenthal, Mark
...and 281 more Authors
all top 5

Cited in 113 Serials

36 Inverse Problems
32 Inverse Problems and Imaging
22 Journal of Inverse and Ill-Posed Problems
19 The Journal of Geometric Analysis
17 Journal of Mathematical Physics
13 SIAM Journal on Applied Mathematics
12 Communications in Partial Differential Equations
12 SIAM Journal on Mathematical Analysis
11 Applicable Analysis
10 Communications in Mathematical Physics
8 Journal of Functional Analysis
7 Journal of Mathematical Analysis and Applications
7 Functional Analysis and its Applications
6 Journal of Differential Equations
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Bulletin des Sciences Mathématiques
6 Annales Henri Poincaré
6 Inverse Problems in Science and Engineering
5 Russian Mathematical Surveys
5 SIAM Journal on Imaging Sciences
4 Journal of Computational Physics
4 Theoretical and Mathematical Physics
4 Siberian Mathematical Journal
4 Transactions of the American Mathematical Society
4 Applied Numerical Mathematics
4 Journal of Mathematical Sciences (New York)
4 Complex Variables and Elliptic Equations
3 Computers & Mathematics with Applications
3 Nonlinearity
3 Arkiv för Matematik
3 Duke Mathematical Journal
3 Journal für die Reine und Angewandte Mathematik
3 SIAM Journal on Scientific Computing
3 The Journal of Fourier Analysis and Applications
3 Proceedings of the Steklov Institute of Mathematics
2 Archive for Rational Mechanics and Analysis
2 Journal d’Analyse Mathématique
2 Reviews in Mathematical Physics
2 Annales de l’Institut Fourier
2 The Annals of Statistics
2 Mathematische Annalen
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Studies in Applied Mathematics
2 Mathematical and Computer Modelling
2 Geometric and Functional Analysis. GAFA
2 Computational Mathematics and Mathematical Physics
2 Applied and Computational Harmonic Analysis
2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
2 Journal of Nonlinear Mathematical Physics
2 Computational Methods and Function Theory
2 Boundary Value Problems
2 Séminaire Laurent Schwartz. EDP et Applications
2 Electronic Research Archive
1 Classical and Quantum Gravity
1 Computer Physics Communications
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Physics Letters. A
1 Transport Theory and Statistical Physics
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 Applied Mathematics and Computation
1 Integral Equations and Operator Theory
1 Inventiones Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Journal of Soviet Mathematics
1 Mathematische Zeitschrift
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Advances in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Physica D
1 Applied Mathematics Letters
1 European Journal of Applied Mathematics
1 SIAM Review
1 Bulletin of the American Mathematical Society. New Series
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Experimental Mathematics
1 St. Petersburg Mathematical Journal
1 NoDEA. Nonlinear Differential Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Doklady Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Optimization and Engineering
1 Differential Equations
1 Nonlinear Analysis. Real World Applications
1 Matematicheskoe Modelirovanie
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Communications on Pure and Applied Analysis
1 Milan Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
...and 13 more Serials
all top 5

Cited in 37 Fields

302 Partial differential equations (35-XX)
92 Numerical analysis (65-XX)
78 Quantum theory (81-XX)
64 Optics, electromagnetic theory (78-XX)
56 Integral transforms, operational calculus (44-XX)
34 Biology and other natural sciences (92-XX)
33 Differential geometry (53-XX)
24 Dynamical systems and ergodic theory (37-XX)
20 Functions of a complex variable (30-XX)
19 Global analysis, analysis on manifolds (58-XX)
16 Ordinary differential equations (34-XX)
15 Operator theory (47-XX)
12 Integral equations (45-XX)
11 Fluid mechanics (76-XX)
11 Information and communication theory, circuits (94-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Potential theory (31-XX)
7 Computer science (68-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Relativity and gravitational theory (83-XX)
5 Functional analysis (46-XX)
5 Mechanics of deformable solids (74-XX)
4 History and biography (01-XX)
4 Statistics (62-XX)
4 Mechanics of particles and systems (70-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Geophysics (86-XX)
3 General and overarching topics; collections (00-XX)
3 Algebraic geometry (14-XX)
3 Astronomy and astrophysics (85-XX)
2 Special functions (33-XX)
2 Difference and functional equations (39-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Approximations and expansions (41-XX)
1 Manifolds and cell complexes (57-XX)
1 Systems theory; control (93-XX)

Citations by Year