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Novikov, Roman G.

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Author ID: novikov.roman-g Recent zbMATH articles by "Novikov, Roman G."
Published as: Novikov, R.; Novikov, R. G.; Novikov, Roman; Novikov, Roman G.
Documents Indexed: 99 Publications since 1984
all top 5

Serials

17 Inverse Problems
8 Russian Mathematical Surveys
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
5 Journal of Inverse and Ill-Posed Problems
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 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

78 Publications have been cited 771 times in 360 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.
96
1988
The inverse scattering problem on a fixed energy level for two- dimensional Schrödinger operator. Zbl 0762.35077
Novikov, R. G.
55
1992
The \({\bar \partial}\)-equation in the multidimensional inverse scattering problem. Zbl 0674.35085
Novikov, R. G.; Khenkin, G. M.
50
1987
An inversion formula for the attenuated \(X\)-ray transformation. Zbl 1036.53056
Novikov, Roman G.
46
2002
Formulas for phase recovering from phaseless scattering data at fixed frequency. Zbl 1330.35277
Novikov, R. G.
33
2015
Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions. Zbl 1338.81361
Novikov, R. G.
29
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.
21
2005
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
On the range characterization for the two-dimensional attenuated x-ray transformation. Zbl 1004.44001
Novikov, R. G.
19
2002
New global stability estimates for the Gel’fand-Calderón inverse problem. Zbl 1208.35173
Novikov, R. G.
16
2011
An iterative approach to non-overdetermined inverse scattering at fixed energy. Zbl 1327.35444
Novikov, R. G.
14
2015
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
13
2010
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.
13
2002
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.
12
2016
Construction of a two-dimensional Schrödinger operator with given scattering amplitude at fixed energy. Zbl 0615.35023
Novikov, R. G.
11
1986
Inversion of weighted Radon transforms via finite Fourier series weight approximations. Zbl 1329.65326
Guillement, J.-P.; Novikov, R. G.
10
2014
New global stability estimates for monochromatic inverse acoustic scattering. Zbl 1302.35443
Isaev, M. I.; Novikov, R. G.
10
2013
The \(\bar{\partial}\)-approach to monochromatic inverse scattering in three dimensions. Zbl 1144.81032
Novikov, R. G.
10
2008
Reconstruction of a two-dimensional Schrödinger operator from the scattering amplitude for fixed energy. Zbl 0637.35067
Novikov, R. G.
10
1986
Monochromatic reconstruction algorithms for two-dimensional multi-channel inverse problems. Zbl 1316.35266
Novikov, Roman G.; Santacesaria, Matteo
9
2013
Global uniqueness and reconstruction for the multi-channel Gel’fand-Calderón inverse problem in two dimensions. Zbl 1228.35271
Novikov, Roman G.; Santacesaria, Matteo
9
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
Small angle scattering and \(X\)-ray transform in classical mechanics. Zbl 1088.70009
Novikov, Roman G.
9
1999
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
An iterative approach to monochromatic phaseless inverse scattering. Zbl 07000901
Agaltsov, A. D.; Hohage, T.; Novikov, R. G.
8
2019
Faddeev eigenfunctions for point potentials in two dimensions. Zbl 1255.81137
Grinevich, P. G.; Novikov, R. G.
8
2012
Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy. Zbl 1242.35196
Novikov, R. G.
8
2011
On the problem of polarization tomography. I. Zbl 1124.53033
Novikov, Roman; Sharafutdinov, Vladimir
8
2007
Formulae and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential. Zbl 1063.35152
Novikov, R. G.
8
2005
An inversion formula for the attenuated X-ray transformation. Zbl 0984.44001
Novikov, Roman G.
8
2001
Riemann-Hilbert problem approach for two-dimensional flow inverse scattering. Zbl 1305.81133
Agaltsov, A. D.; Novikov, R. G.
7
2014
Approximate inverse quantum scattering at fixed energy in dimension 2. Zbl 0980.81058
Novikov, R. G.
7
1999
Generalized analytic functions, Moutard-type transforms, and holomorphic maps. Zbl 1355.30041
Grinevich, P. G.; Novikov, R. G.
6
2016
Rapidly converging approximation in inverse quantum scattering in dimension \(2\). Zbl 1044.81760
Novikov, Roman G.
6
1998
\(\overline\partial\)-method with nonzero background potential. Application to inverse scattering for the two-dimensional acoustic equation. Zbl 0855.35130
Novikov, Roman G.
6
1996
Discrete analogues of \(\bar \partial\)-equation and of Radon transform. Zbl 0748.35054
Fokas, Athanasis S.; Novikov, Roman G.
6
1991
Analogs of multisoliton potentials for the two-dimensional Schrödinger operator. Zbl 0657.35122
Grinevich, P. G.; Novikov, R. G.
6
1985
Oscillating weakly localized solutions of the Korteweg-de Vries equation. Zbl 0563.35071
Novikov, R. G.; Khenkin, G. M.
6
1984
Moutard transform for generalized analytic functions. Zbl 1358.30019
Grinevich, P. G.; Novikov, R. G.
5
2016
Inverse scattering without phase information. Zbl 1352.81056
Novikov, R. G.
5
2016
Two-dimensional von Neumann-Wigner potentials with a multiple positive eigenvalue. Zbl 1333.35133
Novikov, R. G.; Taimanov, I. A.; Tsarev, S. P.
5
2014
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
Large time asymptotics for the Grinevich-Zakharov potentials. Zbl 1219.35237
Kazeykina, A. V.; Novikov, R. G.
5
2011
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.
5
2002
Analogues of multisoliton potentials for the two-dimensional Schrödinger operator. Zbl 0606.35072
Grinevich, P. G.; Novikov, R. G.
5
1985
Moutard transform approach to generalized analytic functions with contour poles. Zbl 1351.30034
Grinevich, P. G.; Novikov, R. G.
4
2016
Weighted Radon transforms and first order differential systems on the plane. Zbl 1337.44002
Novikov, R. G.
4
2014
Absence of exponentially localized solitons for the Novikov-Veselov equation at negative energy. Zbl 1221.35340
Kazeykina, A. V.; Novikov, R. G.
4
2011
Editorial: Inverse wave propagation problems without phase information. Zbl 1416.00026
Hohage, T. (ed.); Novikov, R. G. (ed.)
3
2019
An example of non-uniqueness for the weighted Radon transforms along hyperplanes in multidimensions. Zbl 1394.44001
Goncharov, F. O.; Novikov, R. G.
3
2018
Energy and regularity dependent stability estimates for the Gelfand inverse problem in multidimensions. Zbl 1279.35106
Isaev, Mikhail I.; Novikov, Roman G.
3
2012
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 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
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
Monochromatic identities for the Green function and uniqueness results for passive imaging. Zbl 1409.35234
Agaltsov, Alexey D.; Hohage, Thorsten; Novikov, Roman G.
2
2018
Moutard type transformation for matrix generalized analytic functions and gauge transformations. Zbl 1367.30035
Novikov, R. G.; Taimanov, I. A.
2
2016
Uniqueness and non-uniqueness in acoustic tomography of moving fluid. Zbl 1338.35489
Agaltsov, Alexey D.; Novikov, Roman G.
2
2016
Effectivized Hölder-logarithmic stability estimates for the Gel’fand inverse problem. Zbl 1301.35213
Isaev, M. I.; Novikov, R. G.
2
2014
The Moutard transformation and two-dimensional multipoint delta-type potentials. Zbl 1287.37051
Novikov, R. G.; Taimanov, I. A.
2
2013
Approximate Lipschitz stability for non-overdetermined inverse scattering at fixed energy. Zbl 1278.35269
Novikov, Roman G.
2
2013
An effectivization of the global reconstruction in the Gel’fand-Calderón inverse problem in three dimensions. Zbl 1183.35271
Novikov, R. G.
2
2009
On stable determination of potential by boundary measurements. Zbl 1165.35483
Novikov, R. G.; Novikova, N. N.
2
2008
On inverse scattering for the \(N\)-body Schrödinger equation. Zbl 0928.35208
Novikov, Roman G.
2
1998
Inverse scattering up to smooth functions for the Dirac-ZS-AKNS system. Zbl 0902.35105
Novikov, Roman G.
2
1997
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
Multipoint formulas for phase recovering from phaseless scattering data. Zbl 07328186
Novikov, R. G.
1
2021
Hölder-logarithmic stability in Fourier synthesis. Zbl 1453.42008
Isaev, Mikhail; Novikov, Roman G.
1
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
Optimized analytic reconstruction for SPECT. Zbl 1279.65140
Guillement, Jean-Pol; Novikov, Roman G.
1
2012
Weighted Radon transforms for which Chang’s approximate inversion formula is exact. Zbl 1221.44006
Novikov, R. G.
1
2011
On Wiener-type filters in SPECT. Zbl 1137.78307
Guillement, J-P; Novikov, R. G.
1
2008
On non-overdetermined inverse scattering at zero energy in three dimensions. Zbl 1121.35143
Novikov, Roman G.
1
2006
New differential equations in the mKdV hierarchy. Zbl 0754.35133
Beals, Richard; Novikov, Roman G.
1
1992
Yang-Mills fields, Radon-Penrose transform and Cauchy-Riemann equations. Zbl 0706.53047
Novikov, R. G.; Khenkin, G. M.
1
1989
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
Multipoint formulas for phase recovering from phaseless scattering data. Zbl 07328186
Novikov, R. G.
1
2021
Hölder-logarithmic stability in Fourier synthesis. Zbl 1453.42008
Isaev, Mikhail; Novikov, Roman G.
1
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
An iterative approach to monochromatic phaseless inverse scattering. Zbl 07000901
Agaltsov, A. D.; Hohage, T.; Novikov, R. G.
8
2019
Editorial: Inverse wave propagation problems without phase information. Zbl 1416.00026
Hohage, T. (ed.); Novikov, R. G. (ed.)
3
2019
An example of non-uniqueness for the weighted Radon transforms along hyperplanes in multidimensions. Zbl 1394.44001
Goncharov, F. O.; Novikov, R. G.
3
2018
Monochromatic identities for the Green function and uniqueness results for passive imaging. Zbl 1409.35234
Agaltsov, Alexey D.; Hohage, Thorsten; Novikov, Roman G.
2
2018
Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions. Zbl 1338.81361
Novikov, R. G.
29
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.
12
2016
Generalized analytic functions, Moutard-type transforms, and holomorphic maps. Zbl 1355.30041
Grinevich, P. G.; Novikov, R. G.
6
2016
Moutard transform for generalized analytic functions. Zbl 1358.30019
Grinevich, P. G.; Novikov, R. G.
5
2016
Inverse scattering without phase information. Zbl 1352.81056
Novikov, R. G.
5
2016
Moutard transform approach to generalized analytic functions with contour poles. Zbl 1351.30034
Grinevich, P. G.; Novikov, R. G.
4
2016
Moutard type transformation for matrix generalized analytic functions and gauge transformations. Zbl 1367.30035
Novikov, R. G.; Taimanov, I. A.
2
2016
Uniqueness and non-uniqueness in acoustic tomography of moving fluid. Zbl 1338.35489
Agaltsov, Alexey D.; Novikov, Roman G.
2
2016
Formulas for phase recovering from phaseless scattering data at fixed frequency. Zbl 1330.35277
Novikov, R. G.
33
2015
An iterative approach to non-overdetermined inverse scattering at fixed energy. Zbl 1327.35444
Novikov, R. G.
14
2015
Inversion of weighted Radon transforms via finite Fourier series weight approximations. Zbl 1329.65326
Guillement, J.-P.; Novikov, R. G.
10
2014
Riemann-Hilbert problem approach for two-dimensional flow inverse scattering. Zbl 1305.81133
Agaltsov, A. D.; Novikov, R. G.
7
2014
Two-dimensional von Neumann-Wigner potentials with a multiple positive eigenvalue. Zbl 1333.35133
Novikov, R. G.; Taimanov, I. A.; Tsarev, S. P.
5
2014
Weighted Radon transforms and first order differential systems on the plane. Zbl 1337.44002
Novikov, R. G.
4
2014
Effectivized Hölder-logarithmic stability estimates for the Gel’fand inverse problem. Zbl 1301.35213
Isaev, M. I.; Novikov, R. G.
2
2014
New global stability estimates for monochromatic inverse acoustic scattering. Zbl 1302.35443
Isaev, M. I.; Novikov, R. G.
10
2013
Monochromatic reconstruction algorithms for two-dimensional multi-channel inverse problems. Zbl 1316.35266
Novikov, Roman G.; Santacesaria, Matteo
9
2013
The Moutard transformation and two-dimensional multipoint delta-type potentials. Zbl 1287.37051
Novikov, R. G.; Taimanov, I. A.
2
2013
Approximate Lipschitz stability for non-overdetermined inverse scattering at fixed energy. Zbl 1278.35269
Novikov, Roman G.
2
2013
Faddeev eigenfunctions for point potentials in two dimensions. Zbl 1255.81137
Grinevich, P. G.; Novikov, R. G.
8
2012
Energy and regularity dependent stability estimates for the Gelfand inverse problem in multidimensions. Zbl 1279.35106
Isaev, Mikhail I.; Novikov, Roman G.
3
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.
16
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
9
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
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
Large time asymptotics for the Grinevich-Zakharov potentials. Zbl 1219.35237
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.
1
2011
A global stability estimate for the Gel’fand-Calderón inverse problem in two dimensions. Zbl 1279.35120
Novikov, Roman; Santacesaria, Matteo
13
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.
1
2008
On the problem of polarization tomography. I. Zbl 1124.53033
Novikov, Roman; Sharafutdinov, Vladimir
8
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.
21
2005
Formulae and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential. Zbl 1063.35152
Novikov, R. G.
8
2005
An inversion formula for the attenuated \(X\)-ray transformation. Zbl 1036.53056
Novikov, Roman G.
46
2002
On the range characterization for the two-dimensional attenuated x-ray transformation. Zbl 1004.44001
Novikov, R. G.
19
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.
13
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.
5
2002
An inversion formula for the attenuated X-ray transformation. Zbl 0984.44001
Novikov, Roman G.
8
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.
9
1999
Approximate inverse quantum scattering at fixed energy in dimension 2. Zbl 0980.81058
Novikov, R. G.
7
1999
Rapidly converging approximation in inverse quantum scattering in dimension \(2\). Zbl 1044.81760
Novikov, Roman G.
6
1998
On inverse scattering for the \(N\)-body Schrödinger equation. Zbl 0928.35208
Novikov, Roman G.
2
1998
Inverse scattering up to smooth functions for the Dirac-ZS-AKNS system. Zbl 0902.35105
Novikov, Roman G.
2
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.
55
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.
96
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
Construction of a two-dimensional Schrödinger operator with given scattering amplitude at fixed energy. Zbl 0615.35023
Novikov, R. G.
11
1986
Reconstruction of a two-dimensional Schrödinger operator from the scattering amplitude for fixed energy. Zbl 0637.35067
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.
5
1985
Oscillating weakly localized solutions of the Korteweg-de Vries equation. Zbl 0563.35071
Novikov, R. G.; Khenkin, G. M.
6
1984
all top 5

Cited by 351 Authors

41 Novikov, Roman G.
29 Klibanov, Michael V.
18 Uhlmann, Gunther Alberto
11 Lassas, Matti
11 Nguyen, Loc Hoang
11 Romanov, Vladimir Gavrilovich
10 Grinevich, Pëtr Georgievich
10 Santacesaria, Matteo
9 Salo, Mikko
8 Eskin, Gregory
8 Siltanen, Samuli
8 Zhang, Bo
8 Zhang, Haiwen
7 Kurylev, Yaroslav V.
7 Paternain, Gabriel Pedro
7 Tzou, Leo
6 Agaltsov, Alexey D.
6 Isaev, Mikhail Ismailovitch
6 Isozaki, Hiroshi
6 Nguyen, Dinh Liem
6 Ralston, James V.
6 Yamamoto, Masahiro
5 de Hoop, Maarten V.
5 Fokas, Athanassios S.
5 Guillarmou, Colin
5 Lakshtanov, Evgeny L.
5 Monard, François
5 Mueller, Jennifer L.
5 Nicoleau, François
5 Päivärinta, Lassi
5 Ramm, Alexander G.
5 Sadiq, Kamran
5 Tamasan, Alexandru
5 Wang, Jinping
4 Beilina, Larisa
4 Guo, Yukun
4 Hohage, Thorsten
4 Imanuvilov, Oleg Yu.
4 Jollivet, Alexandre
4 Kazeykina, A. V.
4 Khenkin, Gennadiĭ Markovich
4 Kuchment, Peter A.
4 Novikov, Sergeĭ Petrovich
4 Stefanov, Plamen D.
4 Taimanov, Iskander Asanovich
4 Vaĭnberg, Boris Rufimovich
4 Weder, Ricardo A.
4 Xu, Xiaoxu
4 Zhang, Deyue
3 Addam, Mohamed
3 Assylbekov, Yernat M.
3 Bal, Guillaume
3 Beretta, Elena
3 Daudé, Thierry
3 Ilmavirta, Joonas
3 Karchevsky, Andrey Leonidovich
3 Kazeykina, Anna
3 Kolesov, Aleksandr Egorovich
3 Kovalyov, Mikhail Yakovlevich
3 Li, Jingzhi
3 Li, Wei
3 Nguyen, Lam H.
3 Pantong, Natee
3 Perry, Peter A.
3 Polyakov, Peter L.
3 Scherzer, Otmar
3 Sini, Mourad
3 Sullivan, Anders J.
3 Sun, Ziqi
3 Tamminen, Janne P.
3 Tsarev, Sergej Petrovich
2 Alberti, Giovanni S.
2 Alsaker, Melody
2 Andersson, Joel A. E.
2 Ando, Kazunori
2 Arians, Silke
2 Astratov, Vasily N.
2 Barceló, Juan Antonio
2 Belishev, Mikhail Igorevitch
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 Fujiwara, Hiroshi
2 Goncharov, Fedor O.
2 Greenleaf, Allan
2 Hauptmann, Andreas
2 Holman, Sean F.
2 Hubenthal, Mark
2 Ikehata, Masaru
2 Isakov, Victor M.
2 Jbilou, Khalide
2 Kastis, George A.
2 Khoa, Vo Anh
2 Klein, Christian
...and 251 more Authors
all top 5

Cited in 104 Serials

32 Inverse Problems
25 Inverse Problems and Imaging
17 Journal of Mathematical Physics
17 The Journal of Geometric Analysis
15 Journal of Inverse and Ill-Posed Problems
12 Communications in Partial Differential Equations
12 SIAM Journal on Applied Mathematics
10 Communications in Mathematical Physics
10 SIAM Journal on Mathematical Analysis
9 Applicable Analysis
8 Journal of Mathematical Analysis and Applications
8 Journal of Functional Analysis
7 Annales Henri Poincaré
6 Functional Analysis and its Applications
6 Journal of Differential Equations
6 Bulletin des Sciences Mathématiques
5 Russian Mathematical Surveys
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Inverse Problems in Science and Engineering
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 SIAM Journal on Imaging Sciences
3 Computers & Mathematics with Applications
3 Nonlinearity
3 Arkiv för Matematik
3 Duke Mathematical Journal
3 Journal für die Reine und Angewandte Mathematik
3 The Journal of Fourier Analysis and Applications
3 Complex Variables and Elliptic Equations
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 Chaos, Solitons and Fractals
2 Annales de l’Institut Fourier
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 SIAM Journal on Scientific Computing
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 Computer Physics Communications
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
1 Transport Theory and Statistical Physics
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 The Annals of Statistics
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 Computational Mathematics and Mathematical Physics
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 Applied and Computational Harmonic Analysis
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 Nonlinear Analysis. Real World Applications
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
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Asian-European Journal of Mathematics
1 Bulletin of Mathematical Sciences
1 Forum of Mathematics, Sigma
...and 4 more Serials
all top 5

Cited in 37 Fields

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

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