R. G. Novikov, “A Holographic Uniqueness Theorem”, Trudy Mat. Inst. Steklova, 325 (2024), 232–237; Proc. Steklov Inst. Math., 325 (2024), 218–223
2022
2.
P. G. Grinevich, R. G. Novikov, “Spectral inequality for Schrödinger's equation with multipoint potential”, Uspekhi Mat. Nauk, 77:6(468) (2022), 69–76; Russian Math. Surveys, 77:6 (2022), 1021–1028
P. G. Grinevich, R. G. Novikov, “Transmission eigenvalues for multipoint scatterers”, Eurasian Journal of Mathematical and Computer Applications, 9:4 (2021), 17–25
R. G. Novikov, “Multipoint formulae for inverse scattering at high energies”, Uspekhi Mat. Nauk, 76:4(460) (2021), 177–178; Russian Math. Surveys, 76:4 (2021), 723–725
R. G. Novikov, V. N. Sivkin, “Error estimates for phase recovering from phaseless scattering data”, Eurasian Journal of Mathematical and Computer Applications, 8:1 (2020), 44–61
P. G. Grinevich, R. G. Novikov, “Creation and annihilation of point-potentials using Moutard-type transform in spectral variable”, J. Math. Phys., 61 (2020), 93501, 7 pp.
A. D. Agaltsov, R. G. Novikov, “Examples of solution of the inverse scattering problem and the equations of the Novikov–Veselov hierarchy from the scattering data of point potentials”, Uspekhi Mat. Nauk, 74:3(447) (2019), 3–16; Russian Math. Surveys, 74:3 (2019), 373–386
R. G. Novikov, R. Konopnitskii, A. A. Tsyganenko, “Distortions in IR spectra related to registration conditions: II. The influence of scattering”, Optics and Spectroscopy, 124:5 (2018), 623–627; Optics and Spectroscopy, 124:5 (2018), 655–659
R. G. Novikov, I. A. Taimanov, “Darboux–Moutard transformations and Poincaré–Steklov operators”, Trudy Mat. Inst. Steklova, 302 (2018), 334–342; Proc. Steklov Inst. Math., 302 (2018), 315–324
P. G. Grinevich, R. G. Novikov, “Multipoint scatterers with bound states at zero energy”, TMF, 193:2 (2017), 309–314; Theoret. and Math. Phys., 193:2 (2017), 1675–1679
F. O. Goncharov, R. G. Novikov, “An analog of Chang inversion formula for weighted Radon transforms in multidimensions”, Eurasian Journal of Mathematical and Computer Applications, 4:2 (2016), 23–32
13.
P. G. Grinevich, R. G. Novikov, “Generalized Analytic Functions, Moutard-Type Transforms, and Holomorphic Maps”, Funktsional. Anal. i Prilozhen., 50:2 (2016), 81–84; Funct. Anal. Appl., 50:2 (2016), 150–152
R. G. Novikov, I. A. Taimanov, “Moutard type transformation for matrix generalized analytic functions and gauge transformations”, Uspekhi Mat. Nauk, 71:5(431) (2016), 179–180; Russian Math. Surveys, 71:5 (2016), 970–972
R. G. Novikov, “Phaseless inverse scattering in the one dimensional case”, Eurasian Journal of Mathematical and Computer Applications, 3:1 (2015), 64–70
16.
R. G. Novikov, “An iterative approach to non-overdetermined inverse scattering at fixed energy”, Mat. Sb., 206:1 (2015), 131–146; Sb. Math., 206:1 (2015), 120–134
R. G. Novikov, I. A. Taimanov, S. P. Tsarev, “Two-Dimensional von Neumann–Wigner Potentials with a Multiple Positive Eigenvalue”, Funktsional. Anal. i Prilozhen., 48:4 (2014), 74–77; Funct. Anal. Appl., 48:4 (2014), 295–297
M. I. Isaev, R. G. Novikov, “Stability estimates for recovering the potential by the impedance boundary map”, Algebra i Analiz, 25:1 (2013), 37–63; St. Petersburg Math. J., 25:1 (2014), 23–41
P. G. Grinevich, R. G. Novikov, “Faddeev eigenfunctions for moltipoint potentials”, Eurasian Journal of Mathematical and Computer Applications, 1:2 (2013), 76–91
21.
M. I. Isaev, R. G. Novikov, “Reconstruction of a potential from the impedance boundary map”, Eurasian Journal of Mathematical and Computer Applications, 1:1 (2013), 5–28
22.
R. G. Novikov, I. A. Taimanov, “The Moutard transformation and two-dimensional multipoint delta-type potentials”, Uspekhi Mat. Nauk, 68:5(413) (2013), 181–182; Russian Math. Surveys, 68:5 (2013), 957–959
R. G. Novikov, “Weighted Radon transforms for which Chang's approximate inversion formula is exact”, Uspekhi Mat. Nauk, 66:2(398) (2011), 237–238; Russian Math. Surveys, 66:2 (2011), 442–443
P. G. Grinevich, R. G. Novikov, “The Cauchy kernel for the Novikov–Dynnikov DN-discrete complex analysis in triangular lattices”, Uspekhi Mat. Nauk, 62:4(376) (2007), 155–156; Russian Math. Surveys, 62:4 (2007), 799–801
R. G. Novikov, “Approximate Inverse Quantum Scattering at Fixed Energy in Dimension 2”, Trudy Mat. Inst. Steklova, 225 (1999), 301–318; Proc. Steklov Inst. Math., 225 (1999), 285–302
R. G. Novikov, G. M. Henkin, “Yang–Mills fields, the Radon–Penrose transform and the Cauchy–Riemann equations”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 54 (1989), 113–196
R. G. Novikov, “Multidimensional inverse spectral problem for the equation $-\Delta\psi+(v(x)-Eu(x))\psi=0$”, Funktsional. Anal. i Prilozhen., 22:4 (1988), 11–22; Funct. Anal. Appl., 22:4 (1988), 263–272
R. G. Novikov, G. M. Henkin, “Solution of a multidimensional inverse scattering problem on the
basis of generalized dispersion relations”, Dokl. Akad. Nauk SSSR, 292:4 (1987), 814–818
R. G. Novikov, G. M. Henkin, “The $\bar\partial$-equation in the multidimensional inverse scattering problem”, Uspekhi Mat. Nauk, 42:3(255) (1987), 93–152; Russian Math. Surveys, 42:3 (1987), 109–180
P. G. Grinevich, R. G. Novikov, “Analogues of multisoliton potentials for the two-dimensional Schrödinger operator, and a nonlocal Riemann problem”, Dokl. Akad. Nauk SSSR, 286:1 (1986), 19–22
R. G. Novikov, “Reconstruction of a two-dimensional Schrödinger operator from the scattering amplitude for fixed energy”, Funktsional. Anal. i Prilozhen., 20:3 (1986), 90–91; Funct. Anal. Appl., 20:3 (1986), 246–248
R. G. Novikov, “Construction of two-dimensional Schrödinger operator with given scattering amplitude at fixed energy”, TMF, 66:2 (1986), 234–240; Theoret. and Math. Phys., 66:2 (1986), 154–158
P. G. Grinevich, R. G. Novikov, “Analogs of multisoliton potentials for the two-dimensional Schrödinger operator”, Funktsional. Anal. i Prilozhen., 19:4 (1985), 32–42; Funct. Anal. Appl., 19:4 (1985), 276–285
R. G. Novikov, G. M. Henkin, “Oscillating weakly localized solutions of the Korteweg–de Vries equation”, TMF, 61:2 (1984), 199–213; Theoret. and Math. Phys., 61:2 (1984), 1089–1099
A. V. Bolsinov, V. M. Buchstaber, A. P. Veselov, P. G. Grinevich, I. A. Dynnikov, V. V. Kozlov, Yu. A. Kordyukov, D. V. Millionshchikov, A. E. Mironov, R. G. Novikov, S. P. Novikov, A. A. Yakovlev, “Iskander Asanovich Taimanov (on his 60th birthday)”, Uspekhi Mat. Nauk, 77:6(468) (2022), 209–218; Russian Math. Surveys, 77:6 (2022), 1159–1168
2019
36.
Yu. V. Egorov, A. I. Komech, P. A. Kuchment, E. L. Lakshtanov, V. G. Maz'ya, S. A. Molchanov, R. G. Novikov, M. I. Freidlin, “Boris Rufimovich Vainberg (on his 80th birthday)”, Uspekhi Mat. Nauk, 74:1(445) (2019), 189–194; Russian Math. Surveys, 74:1 (2019), 181–186
2017
37.
B. Berndtsson, S. V. Kislyakov, R. G. Novikov, V. M. Polterovich, P. L. Polyakov, A. E. Tumanov, A. A. Shananin, C. L. Epstein, “Gennadi Markovich Henkin (obituary)”, Uspekhi Mat. Nauk, 72:3(435) (2017), 170–190; Russian Math. Surveys, 72:3 (2017), 547–570
Point scatterers and transmission eigenvalues P. G. Grinevich, R. G. Novikov The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023) December 6, 2023 09:30
4.
A holographic uniqueness theorem R. G. Novikov The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023) December 5, 2023 12:35
Обратная задача рассеяния без фазовой информации R. G. Novikov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) August 21, 2019 14:00
Обратное рассеяние при фиксированной энергии и приложения R. G. Novikov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) August 22, 2012 14:00
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