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Algebra i Analiz, 1992, Volume 4, Issue 3, Pages 196–225 (Mi aa328)  

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

Research Papers

Selfadjoint elliptic problems with radiation conditions on the edges of the boundary

S. A. Nazarov, B. A. Plamenevskii

The Institute for Electricity and Communications
Received: 29.01.1992
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Nazarov, B. A. Plamenevskii, “Selfadjoint elliptic problems with radiation conditions on the edges of the boundary”, Algebra i Analiz, 4:3 (1992), 196–225; St. Petersburg Math. J., 4:3 (1993), 569–594
Citation in format AMSBIB
\Bibitem{NazPla92}
\by S.~A.~Nazarov, B.~A.~Plamenevskii
\paper Selfadjoint elliptic problems with radiation conditions on the edges of the boundary
\jour Algebra i Analiz
\yr 1992
\vol 4
\issue 3
\pages 196--225
\mathnet{http://mi.mathnet.ru/aa328}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1190778}
\zmath{https://zbmath.org/?q=an:0806.35027}
\transl
\jour St. Petersburg Math. J.
\yr 1993
\vol 4
\issue 3
\pages 569--594
Linking options:
  • https://www.mathnet.ru/eng/aa328
  • https://www.mathnet.ru/eng/aa/v4/i3/p196
  • This publication is cited in the following 18 articles:
    1. 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
    2. 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
    3. S. A. Nazarov, “Asymptotics of the eigenvalues of boundary value problems for the Laplace operator in a three-dimensional domain with a thin closed tube”, Trans. Moscow Math. Soc., 76:1 (2015), 1–53  mathnet  crossref  elib
    4. B. A. Plamenevskii, A. S. Poretckii, O. V. Sarafanov, “Method for computing waveguide scattering matrices in vicinity of thresholds”, St. Petersburg Math. J., 26:1 (2015), 91–116  mathnet  crossref  mathscinet  isi  elib
    5. S. A. Nazarov, “Asymptotics of eigen-oscillations of a massive elastic body with a thin baffle”, Izv. Math., 77:1 (2013), 87–142  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    6. S. A. Nazarov, “Formation of gaps in the spectrum of the problem of waves on the surface of a periodic channel”, Comput. Math. Math. Phys., 50:6 (2010), 1038–1054  mathnet  crossref  mathscinet  adsnasa  isi  elib
    7. J. Appl. Industr. Math., 3:3 (2009), 377–390  mathnet  crossref  mathscinet
    8. S. A. Nazarov, “Concentration of trapped modes in problems of the linearized theory of water waves”, Sb. Math., 199:12 (2008), 1783–1807  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    9. S. A. Nazarov, G. H. Sweers, “Boundary value problems for the bi-harmonic equation and for the iterated Laplacian in a three-dimensional domain with an edge”, J. Math. Sci. (N. Y.), 143:2 (2007), 2936–2960  mathnet  crossref  mathscinet  zmath  elib
    10. Nazarov, SA, “Self-adjoint extensions for the Neumann Laplacian and applications”, Acta Mathematica Sinica-English Series, 22:3 (2006), 879  crossref  mathscinet  zmath  isi
    11. Nazarov S.A., “O bifurkatsiyakh fronta ploskoi treschiny, rastuschei kvazistaticheski v uprugom prostranstve”, PMM, 70:4 (2006), 701–714
    12. S. A. Nazarov, “Estimates for the accuracy of modelling boundary-value problems at the junction of domains with different limit dimensions”, Izv. Math., 68:6 (2004), 1179–1215  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    13. Nazarov, SA, “Artificial boundary conditions for Petrovsky systems of second order in exterior domains and in other domains of conical type”, Mathematical Methods in the Applied Sciences, 27:13 (2004), 1507  crossref  mathscinet  zmath  adsnasa  isi
    14. J. Math. Sci. (N. Y.), 130:4 (2005), 4803–4813  mathnet  crossref  mathscinet  zmath
    15. Grikurov V.E., Lyalinov M.A., Neittaanmäki P., Plamenevskii B.A., “On surface waves in diffraction gratings”, Mathematical Methods in the Applied Sciences, 23:17 (2000), 1513–1535  crossref  mathscinet  zmath  adsnasa  isi
    16. S. A. Nazarov, “The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes”, Russian Math. Surveys, 54:5 (1999), 947–1014  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    17. I. V. Kamotskii, S. A. Nazarov, “Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. I”, Sb. Math., 190:1 (1999), 111–141  mathnet  crossref  crossref  mathscinet  zmath  isi
    18. S. A. Nazarov, “The Operator of a Boundary Value Problem With Chaplygin–Zhukovskii–Kutta Type Conditions on an Edge of the Boundary Has the Fredholm Property”, Funct. Anal. Appl., 31:3 (1997), 183–192  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
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