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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
N. D. Filonov, “On the set of values of a ternary quadratic form”, Algebra i Analiz, 35:4 (2023), 183–193 |
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2022 |
2. |
S. T. Krymskiĭ, N. D. Filonov, “On the rate of decrease at infinity of solutions to the Schrödinger equation in a half-cylinder”, Algebra i Analiz, 34:1 (2022), 105–122 ; St. Petersburg Math. J., 34:1 (2023), 79–92 |
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2021 |
3. |
N. D. Filonov, “Absence of the eigenvalues in the spectra of operators with partially periodic coefficients”, Algebra i Analiz, 33:5 (2021), 176–192 ; St. Petersburg Math. J., 33:5 (2022), 867–878 |
4. |
N. D. Filonov, “Schrödinger operator in a cylinder with a decreasing potential”, Algebra i Analiz, 33:1 (2021), 213–245 ; St. Petersburg Math. J., 33:1 (2022), 155–178 |
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5. |
N. D. Filonov, P. A. Hodunov, “On the local boundedness of solutions to the equation $-\Delta u+a\partial_zu=0$”, Zap. Nauchn. Sem. POMI, 508 (2021), 173–184 |
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2020 |
6. |
N. Filonov, P. A. Khodunov, “Nonuniqueness of Leray-Hopf solutions for a dyadic model”, Algebra i Analiz, 32:2 (2020), 229–253 ; St. Petersburg Math. J., 32:2 (2021), 371–387 |
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7. |
N. D. Filonov, “Maxwell operator in a cylinder with coefficients that do not depend on the cross-sectional variables”, Algebra i Analiz, 32:1 (2020), 187–207 ; St. Petersburg Math. J., 32:1 (2021), 139–154 |
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8. |
I. Kachkovskii, N. D. Filonov, “Absolute continuity of the spectrum of the periodic Schrödinger operator in a cylinder with Robin boundary condition”, Funktsional. Anal. i Prilozhen., 54:2 (2020), 48–57 |
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2018 |
9. |
N. Filonov, “Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable”, Algebra i Analiz, 30:3 (2018), 210–249 ; St. Petersburg Math. J., 30:3 (2019), 545–572 |
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10. |
N. D. Filonov, “Number of non-zero cubic sums”, Zap. Nauchn. Sem. POMI, 469 (2018), 160–174 ; J. Math. Sci. (N. Y.), 242:4 (2019), 575–585 |
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2017 |
11. |
A. O. Prokhorov, N. D. Filonov, “The Maxwell operator with periodic coefficients in a cylinder”, Algebra i Analiz, 29:6 (2017), 182–196 ; St. Petersburg Math. J., 29:6 (2018), 997–1006 |
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12. |
N. Filonov, “Absolute continuity of 2D Schrödinger operator with partially periodic coefficients”, Algebra i Analiz, 29:2 (2017), 220–241 ; St. Petersburg Math. J., 29:2 (2018), 383–398 |
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2014 |
13. |
A. Prohorov, N. Filonov, “Regularity of electromagnetic fields in convex domains”, Zap. Nauchn. Sem. POMI, 425 (2014), 55–85 ; J. Math. Sci. (N. Y.), 210:6 (2015), 793–813 |
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2013 |
14. |
N. Filonov, “Weyl asymptotics for the spectrum of the Maxwell operator in Lipschitz domains of arbitrary dimension”, Algebra i Analiz, 25:1 (2013), 170–215 ; St. Petersburg Math. J., 25:1 (2014), 117–149 |
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15. |
N. Filonov, “On the regularity of solutions to the equation $-\Delta u+b\cdot\nabla u=0$”, Zap. Nauchn. Sem. POMI, 410 (2013), 168–186 ; J. Math. Sci. (N. Y.), 195:1 (2013), 98–108 |
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2010 |
16. |
Yu. G. Safarov, N. D. Filonov, “Asymptotic Estimates of the Difference Between the Dirichlet and Neumann Counting Functions”, Funktsional. Anal. i Prilozhen., 44:4 (2010), 54–64 ; Funct. Anal. Appl., 44:4 (2010), 286–294 |
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17. |
I. Kachkovskii, N. Filonov, “Absolute continuity of the spectrum of the periodic Scrödinger operator in a layer and in a smooth cylinder”, Zap. Nauchn. Sem. POMI, 385 (2010), 69–82 ; J. Math. Sci. (N. Y.), 178:3 (2011), 274–281 |
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2009 |
18. |
I. Kachkovskii, N. Filonov, “Absolute continuity of the spectrum of a periodic Schrödinger operator in a multidimensional cylinder”, Algebra i Analiz, 21:1 (2009), 133–152 ; St. Petersburg Math. J., 21:1 (2010), 95–109 |
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19. |
N. Filonov, T. Shilkin, “On the Stokes problem with nonzero divergence”, Zap. Nauchn. Sem. POMI, 370 (2009), 184–202 ; J. Math. Sci. (N. Y.), 166:1 (2010), 106–117 |
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2006 |
20. |
A. B. Alekseev, M. Sh. Birman, N. D. Filonov, “Spectrum asymptotics for one “nonsmooth” variational problem with solvable constraint”, Algebra i Analiz, 18:5 (2006), 1–22 ; St. Petersburg Math. J., 18:5 (2007), 681–697 |
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2004 |
21. |
M. Tikhomirov, N. Filonov, “Absolute continuity of an even periodic Schrödinger operator with nonsmooth coefficients”, Algebra i Analiz, 16:3 (2004), 201–210 ; St. Petersburg Math. J., 16:3 (2005), 583–589 |
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22. |
N. Filonov, “An inequality for eigenvalues of the Dirichlet and Neumann problems for the Laplace operator”, Algebra i Analiz, 16:2 (2004), 172–176 ; St. Petersburg Math. J., 16:2 (2005), 413–416 |
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23. |
N. Filonov, A. V. Sobolev, “Absence of the singular continuous component in the spectrum of analytic direct integrals”, Zap. Nauchn. Sem. POMI, 318 (2004), 298–307 ; J. Math. Sci. (N. Y.), 136:2 (2006), 3826–3831 |
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1999 |
24. |
N. Filonov, “Spectral analysis of the selfadjoint operator rot in a domain of finite measure”, Algebra i Analiz, 11:6 (1999), 178–190 ; St. Petersburg Math. J., 11:6 (2000), 1085–1095 |
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25. |
N. D. Filonov, “The operator rot in an arbitrary region of finite measure”, Zap. Nauchn. Sem. POMI, 262 (1999), 227–230 ; J. Math. Sci. (New York), 110:5 (2002), 3029–3030 |
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1997 |
26. |
N. Filonov, “Principal singularities of the magnetic field component in resonators with a boundary of a given class of smoothness”, Algebra i Analiz, 9:2 (1997), 241–255 ; St. Petersburg Math. J., 9:2 (1998), 379–390 |
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1996 |
27. |
N. Filonov, “Principal singularities of the magnetic component of an electromagnetic field in domains with screens”, Algebra i Analiz, 8:3 (1996), 212–236 ; St. Petersburg Math. J., 8:3 (1997), 525–542 |
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Presentations in Math-Net.Ru |
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