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Serov, Valerii Sergeevich
Statistics Math-Net.Ru
Total publications: 32
Scientific articles: 32
Presentations: 3

Number of views:
This page:668
Abstract pages:4431
Full texts:1841
References:187
Professor
Doctor of physico-mathematical sciences

https://www.mathnet.ru/eng/person19088
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/196270

Publications in Math-Net.Ru Citations
2024
1. H. W. Schürmann, V. S. Serov, “On the existence of certain elliptic solutions of the cubically nonlinear Schrödinger equation”, TMF, 219:1 (2024),  32–43  mathnet  mathscinet; Theoret. and Math. Phys., 219:1 (2024), 557–566  scopus
2023
2. V. S. Serov, “Green's Function Estimates for Elliptic Differential Operators with Singular Coefficients and Absolute Convergence of Fourier Series”, Math. Notes, 114:5 (2023), 920–935  mathnet  scopus
2022
3. V. S. Serov, U. M. Kyllönen, “Convergence of Spectral Expansions Related to Elliptic Operators with Singular Coefficients”, Math. Notes, 111:3 (2022), 455–469  mathnet  mathscinet  scopus 1
2000
4. A. G. Razborov, V. S. Serov, “The spectrum of the Schrödinger operator with a Kato potential”, Differ. Uravn., 36:5 (2000),  689–693  mathnet  mathscinet; Differ. Equ., 36:5 (2000), 767–772 1
5. V. S. Serov, “The convergence of Fourier series in eigenfunctions of the Schrödinger operator with Kato potential”, Mat. Zametki, 67:5 (2000),  755–763  mathnet  mathscinet  zmath; Math. Notes, 67:5 (2000), 639–645  isi 9
1998
6. A. G. Razborov, V. S. Serov, “Some inverse problems for the Schrödinger operator with Kato potential”, Differ. Uravn., 34:6 (1998),  816–824  mathnet  mathscinet; Differ. Equ., 34:6 (1998), 813–821
1996
7. V. S. Serov, Yu. V. Shestopalov, Kh. V. Shurmann, “Existence of solitary normal waves in linear and nonlinear layered waveguides with losses”, Dokl. Akad. Nauk, 346:3 (1996),  311–314  mathnet  mathscinet  zmath
8. N. S. Buzurnyuk, V. S. Serov, “On the convergence of Riesz means of spectral expansions that correspond to the Schrödinger operator with a singular potential”, Differ. Uravn., 32:1 (1996),  83–89  mathnet  mathscinet; Differ. Equ., 32:1 (1996), 85–93
1995
9. V. S. Serov, “On spectral expansions of functions in $H^\alpha_p$ for a differential operator with a singularity on the surface”, Dokl. Akad. Nauk, 340:1 (1995),  26–28  mathnet  mathscinet  zmath 1
10. V. S. Serov, “On the convergence in $H^{s}$-norm of the spectral expansions corresponding to the differential operators with singularity”, Fundam. Prikl. Mat., 1:4 (1995),  1125–1128  mathnet  mathscinet  zmath
1994
11. L. A. Zhornitskaya, V. S. Serov, “On a uniqueness theorem for the Sturm–Liouville operator on an interval with a strongly singular potential”, Dokl. Akad. Nauk, 334:4 (1994),  424–426  mathnet  mathscinet  zmath; Dokl. Math., 49:1 (1994), 119–123
1993
12. L. A. Zhornitskaya, V. S. Serov, “A uniqueness theorem for the Sturm–Liouville operator on a segment with a potential that has a nonintegrable singularity”, Differ. Uravn., 29:12 (1993),  2125–2134  mathnet  mathscinet; Differ. Equ., 29:12 (1993), 1855–1864 1
13. V. S. Serov, D. S. Tkachenko, “On the problem of the reconstruction of the potential in the Schrödinger operator on the line by means of the Born approximation”, Differ. Uravn., 29:1 (1993),  128–138  mathnet  mathscinet; Differ. Equ., 29:1 (1993), 108–116
1992
14. V. S. Serov, “Absolute convergence of spectral expansions of operators with a singularity”, Differ. Uravn., 28:1 (1992),  127–136  mathnet  mathscinet  zmath; Differ. Equ., 28:1 (1992), 120–129 1
15. V. S. Serov, “On estimates of the resolvent of the Laplace operator over the entire space”, Mat. Zametki, 52:6 (1992),  109–118  mathnet  mathscinet  zmath; Math. Notes, 52:6 (1992), 1247–1254  isi
1991
16. V. S. Serov, “Reconstruction of potential in a three-dimensional problem in scattering theory”, Dokl. Akad. Nauk SSSR, 317:3 (1991),  579–583  mathnet  mathscinet  zmath; Dokl. Math., 43:2 (1991), 471–475
17. V. S. Serov, “On the scattering problem for the Schrödinger operator with singular potential in the two-dimensional case. II”, Differ. Uravn., 27:1 (1991),  120–128  mathnet  mathscinet; Differ. Equ., 27:1 (1991), 96–102
1990
18. V. S. Serov, “On the Green function in the mathematical theory of scattering”, Dokl. Akad. Nauk SSSR, 312:6 (1990),  1324–1327  mathnet  mathscinet  zmath; Dokl. Math., 41:3 (1990), 554–557
19. V. S. Serov, “On the scattering problem for the Schrödinger operator with singular potential in the two-dimensional case. I”, Differ. Uravn., 26:5 (1990),  851–860  mathnet  mathscinet  zmath; Differ. Equ., 26:5 (1990), 616–623
1989
20. V. S. Serov, “Interpolation of Besov classes and absolute convergence of Fourier series”, Differ. Uravn., 25:1 (1989),  174–176  mathnet  mathscinet  zmath 1
1987
21. V. S. Serov, “On absolute convergence of series in eigenfunctions of a differential operator with a singularity on the surface”, Dokl. Akad. Nauk SSSR, 293:1 (1987),  37–41  mathnet  mathscinet  zmath
22. V. S. Serov, “On the fundamental solution of a differential operator with a singularity”, Differ. Uravn., 23:3 (1987),  531–534  mathnet  mathscinet  zmath 1
1986
23. V. S. Serov, “Fractional powers of a differential operator with singularity”, Differ. Uravn., 22:1 (1986),  134–142  mathnet  mathscinet
1985
24. V. S. Serov, “The Friedrichs extension of a differential operator with a singularity”, Differ. Uravn., 21:8 (1985),  1422–1429  mathnet  mathscinet
1983
25. V. S. Serov, “Absolute convergence of series in eigenfunctions of the Laplace operator in the class $C^{N/2}$”, Mat. Zametki, 34:3 (1983),  431–442  mathnet  mathscinet  zmath; Math. Notes, 34:3 (1983), 701–707  isi
1980
26. V. S. Serov, “Fundamental solution of a differential operator with a singularity”, Differ. Uravn., 16:3 (1980),  522–531  mathnet  mathscinet  zmath
1979
27. V. S. Serov, “Absolute convergence of spectral expansions in generalized Besov classes”, Differ. Uravn., 15:2 (1979),  293–302  mathnet  mathscinet  zmath
28. V. S. Serov, “Convergence of spectral resolutions in generalized Besov classes”, Mat. Zametki, 26:6 (1979),  845–850  mathnet  mathscinet  zmath; Math. Notes, 26:6 (1979), 922–925  isi
1978
29. V. S. Serov, “The absolute convergence of Fourier series in generalized Nikol'skiǐ classes”, Differ. Uravn., 14:3 (1978),  499–503  mathnet  mathscinet
1976
30. V. S. Serov, “Generalized kernels of fractional order”, Differ. Uravn., 12:10 (1976),  1892–1902  mathnet  mathscinet  zmath 1
31. V. S. Serov, “Absolute convergence of Fourier series in eigenfunctions of an elliptic operator”, Mat. Zametki, 19:3 (1976),  435–448  mathnet  mathscinet  zmath; Math. Notes, 19:3 (1976), 266–274

Presentations in Math-Net.Ru
1. Recovery singularities in quasi-linear biharmonic operator
Valeriy Serov
Seminar on Analysis, Differential Equations and Mathematical Physics
May 26, 2022 18:00
2. Scattering and spectral problems for perturbations of multidimensional biharmonic operator
Valery Serov
Conference on Complex Analysis and Mathematical Physics, dedicated to the 70th birthday of A. G. Sergeev
March 19, 2019 15:50   
3. Теорема Борга–Левинсона для магнитного оператора Шредингера
V. S. Serov
Conference "Mathematical Physics. Vladimirov-90" dedicated to the 90th anniversary of academician V. S. Vladimirov
November 15, 2013 18:00   

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