Saint Petersburg, 199178, Russia, Line 14th (Vasilyevsky Island), 29
(812) 363-68-71, (812) 363-68-72
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Nikolay D. Filonov
Nikolay D. Filonov
Associate Professor
Contacts:

29 Line 14th (Vasilyevsky Island), 199178 Saint Petersburg, Russia

filonov@pdmi.ras.ru

Reception hours:

Wednesday, from 11:00 am to 4:00 pm


Education

1999 — Ph.D. (C.Sc.) in Mathematics and Physics («Mathematical Physics»)
Institution: St. Petersburg State University
Advisor: M.S. Birman


Scientific interests

  • Spectral theory of differential operators
  • Periodic differential operators
  • Maxwell operator
  • Partial differential equations

Selected publications

  1. N. Filonov. Gaps in the spectrum of the Maxwell operator with periodic coefficients. Communications in Mathematical Physics 240:1–2 (2003), 161–170.
  2. N. Filonov. On an inequality between Dirichlet and Neumann eigenvalues for the Laplace operator. St. Petersburg Mathematical Journal 16:2 (2005), 413–416.
  3. N. Filonov and A. Pushnitski. Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains. Communications in Mathematical Physics 264:3 (2006), 759–772.
  4. N. Filonov. Uniqueness of the Leray-Hopf solution for a dyadic model. Transactions of the American Mathematical Society 369:12 (2017), 8663–8684.
  5. N. Filonov and I. Kachkovskiy. On the structure of band edges of 2-dimensional periodic elliptic operators, Acta Mathematica 221:1 (2018), 59–80.

Additional Information

Former students: I.V. Kachkovskiy (completed his Ph.D. in 2013 at St. Petersburg Department of Steklov Mathematical Institute).