Filonov Nikolai Dmitrievich

Publications in Math-Net.Ru

1. On the set of values of a ternary quadratic form
   
   Algebra i Analiz, 35:4 (2023),  183–193
2. 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
3. Absence of the eigenvalues in the spectra of operators with partially periodic coefficients
   
   Algebra i Analiz, 33:5 (2021),  176–192
4. Schrödinger operator in a cylinder with a decreasing potential
   
   Algebra i Analiz, 33:1 (2021),  213–245
5. On the local boundedness of solutions to the equation $-\Delta u+a\partial_zu=0$
   
   Zap. Nauchn. Sem. POMI, 508 (2021),  173–184
6. Nonuniqueness of Leray-Hopf solutions for a dyadic model
   
   Algebra i Analiz, 32:2 (2020),  229–253
7. Maxwell operator in a cylinder with coefficients that do not depend on the cross-sectional variables
   
   Algebra i Analiz, 32:1 (2020),  187–207
8. 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
9. Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable
   
   Algebra i Analiz, 30:3 (2018),  210–249
10. Number of non-zero cubic sums
    
    Zap. Nauchn. Sem. POMI, 469 (2018),  160–174
11. The Maxwell operator with periodic coefficients in a cylinder
    
    Algebra i Analiz, 29:6 (2017),  182–196
12. Absolute continuity of 2D Schrödinger operator with partially periodic coefficients
    
    Algebra i Analiz, 29:2 (2017),  220–241
13. Regularity of electromagnetic fields in convex domains
    
    Zap. Nauchn. Sem. POMI, 425 (2014),  55–85
14. Weyl asymptotics for the spectrum of the Maxwell operator in Lipschitz domains of arbitrary dimension
    
    Algebra i Analiz, 25:1 (2013),  170–215
15. On the regularity of solutions to the equation $-\Delta u+b\cdot\nabla u=0$
    
    Zap. Nauchn. Sem. POMI, 410 (2013),  168–186
16. Asymptotic Estimates of the Difference Between the Dirichlet and Neumann Counting Functions
    
    Funktsional. Anal. i Prilozhen., 44:4 (2010),  54–64
17. 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
18. Absolute continuity of the spectrum of a periodic Schrödinger operator in a multidimensional cylinder
    
    Algebra i Analiz, 21:1 (2009),  133–152
19. On the Stokes problem with nonzero divergence
    
    Zap. Nauchn. Sem. POMI, 370 (2009),  184–202
20. Spectrum asymptotics for one “nonsmooth” variational problem with solvable constraint
    
    Algebra i Analiz, 18:5 (2006),  1–22
21. Absolute continuity of an even periodic Schrödinger operator with nonsmooth coefficients
    
    Algebra i Analiz, 16:3 (2004),  201–210
22. An inequality for eigenvalues of the Dirichlet and Neumann problems for the Laplace operator
    
    Algebra i Analiz, 16:2 (2004),  172–176
23. Absence of the singular continuous component in the spectrum of analytic direct integrals
    
    Zap. Nauchn. Sem. POMI, 318 (2004),  298–307
24. Spectral analysis of the selfadjoint operator rot in a domain of finite measure
    
    Algebra i Analiz, 11:6 (1999),  178–190
25. The operator rot in an arbitrary region of finite measure
    
    Zap. Nauchn. Sem. POMI, 262 (1999),  227–230
26. 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
27. Principal singularities of the magnetic component of an electromagnetic field in domains with screens
    
    Algebra i Analiz, 8:3 (1996),  212–236