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Algebra i Analiz, 2016, Volume 28, Issue 3, Pages 111–160 (Mi aa1496)  

This article is cited in 20 scientific papers (total in 20 papers)

Research Papers

Almost standing waves in a periodic waveguide with a resonator and near-threshold eigenvalues

S. A. Nazarovabc

a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State Polytechnical University, St. Petersburg, Russia
c St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
References:
Funding agency Grant number
Russian Foundation for Basic Research 15-01-02175
Received: 20.11.2015
English version:
St. Petersburg Mathematical Journal, 2017, Volume 28, Issue 3, Pages 377–410
DOI: https://doi.org/10.1090/spmj/1455
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Nazarov, “Almost standing waves in a periodic waveguide with a resonator and near-threshold eigenvalues”, Algebra i Analiz, 28:3 (2016), 111–160; St. Petersburg Math. J., 28:3 (2017), 377–410
Citation in format AMSBIB
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\pages 111--160
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\pages 377--410
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Linking options:
  • https://www.mathnet.ru/eng/aa1496
  • https://www.mathnet.ru/eng/aa/v28/i3/p111
  • This publication is cited in the following 20 articles:
    1. Borisov I D., Zezyulin D.A., Znojil M., “Bifurcations of Thresholds in Essential Spectra of Elliptic Operators Under Localized Non-Hermitian Perturbations”, Stud. Appl. Math., 146:4 (2021), 834–880  crossref  mathscinet  isi  scopus
    2. S. A. Nazarov, “The preservation of threshold resonances and the splitting off of eigenvalues from the threshold of the continuous spectrum of quantum waveguides”, Sb. Math., 212:7 (2021), 965–1000  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    3. S. A. Nazarov, L. Chesnel, “Transmission and trapping of waves in an acoustic waveguide with perforated cross-walls”, Fluid Dyn., 56:8 (2021), 1070–1093  crossref  mathscinet  isi  scopus
    4. S. A. Nazarov, “Scattering of Low-Frequency Elastic Waves in An Infinite Kirchhoff Plate”, J Math Sci, 252:5 (2021), 664  crossref
    5. S. A. Nazarov, “Waveguide with double threshold resonance at a simple threshold”, Sb. Math., 211:8 (2020), 1080–1126  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. S. A. Nazarov, “Threshold resonances and virtual levels in the spectrum of cylindrical and periodic waveguides”, Izv. Math., 84:6 (2020), 1105–1160  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. S. A. Nazarov, “Anomalies of acoustic wave scattering near the cut-off points of continuous spectrum (a review)”, Acoust. Phys., 66:5 (2020), 477–494  crossref  isi  scopus
    8. L. Chesnel, S. A. Nazarov, “Exact zero transmission during the fano resonance phenomenon in non-symmetric waveguides”, Z. Angew. Math. Phys., 71:3 (2020), 82  crossref  mathscinet  zmath  isi  scopus
    9. S. A. Nazarov, “Abnormal Behavior of Eigenvalues of Mixed Boundary Value Problems for the Laplace Operator in Truncated, but Long Cylinders”, J Math Sci, 250:2 (2020), 351  crossref
    10. S. A. Nazarov, “Asymptotics of the Eigenvalues and Eigenfunctions of a Thin Square Dirichlet Lattice with a Curved Ligament”, Math. Notes, 105:4 (2019), 559–579  mathnet  crossref  crossref  mathscinet  isi  elib
    11. G. Leugering, S. A. Nazarov, J. Taskinen, “Umov-poynting-mandelstam radiation conditions in periodic composite piezoelectric waveguides”, Asymptotic Anal., 111:2 (2019), 69–111  crossref  mathscinet  zmath  isi  scopus
    12. S. A. Nazarov, “Rasseyanie uprugikh voln na malykh chastotakh v beskonechnoi plastine Kirkhgofa”, Matematicheskie voprosy teorii rasprostraneniya voln. 49, Zap. nauchn. sem. POMI, 483, POMI, SPb., 2019, 142–177  mathnet
    13. S. A. Nazarov, “Transmission of waves through a small aperture in the cross-wall in an acoustic waveguide”, Siberian Math. J., 59:1 (2018), 85–101  mathnet  crossref  crossref  isi  elib
    14. S. A. Nazarov, “Enhancement and smoothing of near-threshold Wood anomalies in an acoustic waveguide”, Acoust. Phys., 64:5 (2018), 535–547  crossref  isi  scopus
    15. S. A. Nazarov, “Asymptotics of eigenvalues in spectral gaps of periodic waveguides with small singular perturbations”, J. Math. Sci. (N. Y.), 243:5 (2019), 746–773  mathnet  crossref
    16. S. A. Nazarov, “Various manifestations of Wood anomalies in locally distorted quantum waveguides”, Comput. Math. Math. Phys., 58:11 (2018), 1838–1855  mathnet  crossref  crossref  isi  elib
    17. S. A. Nazarov, “Finite-Dimensional Approximations of the Steklov–Poincaré Operator for the Helmholtz Equation in Periodic Waveguides”, J Math Sci, 232:4 (2018), 461  crossref
    18. F. L. Bakharev, S. G. Matveenko, S. A. Nazarov, “Rectangular lattices of cylindrical quantum waveguides. I. Spectral problems in a finite cross”, St. Petersburg Math. J., 29:3 (2018), 423–437  mathnet  crossref  mathscinet  isi  elib
    19. S. A. Nazarov, “Asymptotics of Eigenvalues in Spectral Gaps Under Regular Perturbations of Walls of a Periodic Waveguide”, J Math Sci, 226:4 (2017), 402  crossref
    20. Nazarov S.A., Ruotsalainen K., Uusitalo P., “Multifarious Transmission Conditions in the Graph Models of Carbon Nano-Structures”, Mater. Phys. Mech., 29:2 (2016), 107–115  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    Алгебра и анализ St. Petersburg Mathematical Journal
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