Loading [MathJax]/jax/output/SVG/config.js
Algebra i Analiz
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Algebra i Analiz, 1989, Volume 1, Issue 1, Pages 96–110 (Mi aa3)  

This article is cited in 18 scientific papers (total in 18 papers)

Research Papers

The selfadjoint Maxwell operator in arbitrary domains

M. Sh. Birman, M. Z. Solomyak

Leningrad State University
Received: 27.06.1988
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Sh. Birman, M. Z. Solomyak, “The selfadjoint Maxwell operator in arbitrary domains”, Algebra i Analiz, 1:1 (1989), 96–110; Leningrad Math. J., 1:1 (1990), 99–115
Citation in format AMSBIB
\Bibitem{BirSol89}
\by M.~Sh.~Birman, M.~Z.~Solomyak
\paper The selfadjoint Maxwell operator in arbitrary domains
\jour Algebra i Analiz
\yr 1989
\vol 1
\issue 1
\pages 96--110
\mathnet{http://mi.mathnet.ru/aa3}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1015335}
\zmath{https://zbmath.org/?q=an:0733.35099}
\transl
\jour Leningrad Math. J.
\yr 1990
\vol 1
\issue 1
\pages 99--115
Linking options:
  • https://www.mathnet.ru/eng/aa3
  • https://www.mathnet.ru/eng/aa/v1/i1/p96
  • This publication is cited in the following 18 articles:
    1. B. A. Plamenevskii, A. S. Poretskii, O. V. Sarafanov, “Mathematical scattering theory in electromagnetic waveguides”, Izv. Math., 89:1 (2025), 50–105  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    2. B. A. Plamenevskii, A. S. Poretskii, “The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of filling medium”, St. Petersburg Math. J., 34:4 (2023), 635–693  mathnet  crossref
    3. N. D. Filonov, “Absence of the eigenvalues in the spectra of operators with partially periodic coefficients”, St. Petersburg Math. J., 33:5 (2022), 867–878  mathnet  crossref
    4. N. D. Filonov, “Maxwell operator in a cylinder with coefficients that do not depend on the cross-sectional variables”, St. Petersburg Math. J., 32:1 (2021), 139–154  mathnet  crossref  isi  elib
    5. B. A. Plamenevskii, A. S. Poretskii, O. V. Sarafanov, “A method for approximate computation of waveguide scattering matrices”, Russian Math. Surveys, 75:3 (2020), 509–568  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. B. A. Plamenevskii, A. S. Poretskii, “Radiation and scattering in electromagnetic waveguides near thresholds”, St. Petersburg Math. J., 32:4 (2021), 781–807  mathnet  crossref
    7. G. V. Rozenblum, “On the mathematical papers of Mikhail Zakharovich Solomyak”, St. Petersburg Math. J., 30:3 (2019), 391–410  mathnet  crossref  mathscinet  isi  elib
    8. T. A. Suslina, “Homogenization of a stationary periodic Maxwell system in a bounded domain with constant magnetic permeability”, St. Petersburg Math. J., 30:3 (2019), 515–544  mathnet  crossref  mathscinet  isi  elib
    9. N. Filonov, “Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable”, St. Petersburg Math. J., 30:3 (2019), 545–572  mathnet  crossref  mathscinet  isi  elib
    10. B. A. Plamenevskiǐ, A. S. Poretskiǐ, “The Maxwell system in waveguides with several cylindrical outlets to infinity and non-homogeneous anisotropic filling”, St. Petersburg Math. J., 29:2 (2018), 289–314  mathnet  crossref  mathscinet  isi  elib
    11. A. O. Prokhorov, N. D. Filonov, “The Maxwell operator with periodic coefficients in a cylinder”, St. Petersburg Math. J., 29:6 (2018), 997–1006  mathnet  crossref  mathscinet  isi  elib
    12. A. Prohorov, N. Filonov, “Regularity of electromagnetic fields in convex domains”, J. Math. Sci. (N. Y.), 210:6 (2015), 793–813  mathnet  crossref
    13. N. Filonov, “Weyl asymptotics for the spectrum of the Maxwell operator in Lipschitz domains of arbitrary dimension”, St. Petersburg Math. J., 25:1 (2014), 117–149  mathnet  crossref  mathscinet  zmath  isi  elib
    14. M. Z. Solomyak, T. A. Suslina, D. R. Yafaev, “On the mathematical works of M. Sh. Birman”, St. Petersburg Math. J., 23:1 (2012), 1–38  mathnet  crossref  mathscinet  zmath  isi  elib
    15. A. L. Delitsyn, “The statement and solubility of boundary-value problems for Maxwell's equations in a cylinder”, Izv. Math., 71:3 (2007), 495–544  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    16. Sevostyanov, A, “An analogue of the operator curl for nonabelian gauge groups and scattering theory”, Bulletin of the London Mathematical Society, 39 (2007), 1005  crossref  mathscinet  isi  elib
    17. KuryleV, Y, “Maxwell's equations with a polarization independent wave velocity: Direct and inverse problems”, Journal de Mathematiques Pures et Appliquees, 86:3 (2006), 237  crossref  mathscinet  isi  elib
    18. T. A. Suslina, “Averaging of the stationary periodic Maxwell system”, St. Petersburg Math. J., 16:5 (2005), 863–922  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ
    Statistics & downloads:
    Abstract page:966
    Full-text PDF :525
    References:2
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025