Serov Valerii Sergeevich

Publications in Math-Net.Ru

1. On alleged solutions of the cubically nonlinear Schrödinger equation
   
   TMF, 223:1 (2025),  56–61
2. On the existence of certain elliptic solutions of the cubically nonlinear Schrödinger equation
   
   TMF, 219:1 (2024),  32–43
3. Green's Function Estimates for Elliptic Differential Operators with Singular Coefficients and Absolute Convergence of Fourier Series
   
   Mat. Zametki, 114:5 (2023),  920–935
4. Convergence of Spectral Expansions Related to Elliptic Operators with Singular Coefficients
   
   Mat. Zametki, 111:3 (2022),  455–469
5. The spectrum of the Schrödinger operator with a Kato potential
   
   Differ. Uravn., 36:5 (2000),  689–693
6. The convergence of Fourier series in eigenfunctions of the Schrödinger operator with Kato potential
   
   Mat. Zametki, 67:5 (2000),  755–763
7. Some inverse problems for the Schrödinger operator with Kato potential
   
   Differ. Uravn., 34:6 (1998),  816–824
8. Existence of solitary normal waves in linear and nonlinear layered waveguides with losses
   
   Dokl. Akad. Nauk, 346:3 (1996),  311–314
9. 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
10. 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
11. 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
12. 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
13. 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
14. 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
15. Absolute convergence of spectral expansions of operators with a singularity
    
    Differ. Uravn., 28:1 (1992),  127–136
16. On estimates of the resolvent of the Laplace operator over the entire space
    
    Mat. Zametki, 52:6 (1992),  109–118
17. Reconstruction of potential in a three-dimensional problem in scattering theory
    
    Dokl. Akad. Nauk SSSR, 317:3 (1991),  579–583
18. On the scattering problem for the Schrödinger operator with singular potential in the two-dimensional case. II
    
    Differ. Uravn., 27:1 (1991),  120–128
19. On the Green function in the mathematical theory of scattering
    
    Dokl. Akad. Nauk SSSR, 312:6 (1990),  1324–1327
20. On the scattering problem for the Schrödinger operator with singular potential in the two-dimensional case. I
    
    Differ. Uravn., 26:5 (1990),  851–860
21. Interpolation of Besov classes and absolute convergence of Fourier series
    
    Differ. Uravn., 25:1 (1989),  174–176
22. 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
23. On the fundamental solution of a differential operator with a singularity
    
    Differ. Uravn., 23:3 (1987),  531–534
24. Fractional powers of a differential operator with singularity
    
    Differ. Uravn., 22:1 (1986),  134–142
25. The Friedrichs extension of a differential operator with a singularity
    
    Differ. Uravn., 21:8 (1985),  1422–1429
26. Absolute convergence of series in eigenfunctions of the Laplace operator in the class $C^{N/2}$
    
    Mat. Zametki, 34:3 (1983),  431–442
27. Fundamental solution of a differential operator with a singularity
    
    Differ. Uravn., 16:3 (1980),  522–531
28. Absolute convergence of spectral expansions in generalized Besov classes
    
    Differ. Uravn., 15:2 (1979),  293–302
29. Convergence of spectral resolutions in generalized Besov classes
    
    Mat. Zametki, 26:6 (1979),  845–850
30. The absolute convergence of Fourier series in generalized Nikol'skiǐ classes
    
    Differ. Uravn., 14:3 (1978),  499–503
31. Generalized kernels of fractional order
    
    Differ. Uravn., 12:10 (1976),  1892–1902
32. Absolute convergence of Fourier series in eigenfunctions of an elliptic operator
    
    Mat. Zametki, 19:3 (1976),  435–448