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Matematicheskie Zametki, 2003, Volume 73, Issue 1, Pages 138–140
DOI: https://doi.org/10.4213/mzm606
(Mi mzm606)
 

This article is cited in 52 scientific papers (total in 52 papers)

Brief Communications

Exponentially Decreasing Solutions of Diffraction Problems on a Rigid Periodic Boundary

I. V. Kamotskiia, S. A. Nazarovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
References:
Received: 10.06.2002
English version:
Mathematical Notes, 2003, Volume 73, Issue 1, Pages 129–131
DOI: https://doi.org/10.1023/A:1022186320373
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. V. Kamotskii, S. A. Nazarov, “Exponentially Decreasing Solutions of Diffraction Problems on a Rigid Periodic Boundary”, Mat. Zametki, 73:1 (2003), 138–140; Math. Notes, 73:1 (2003), 129–131
Citation in format AMSBIB
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\paper Exponentially Decreasing Solutions of Diffraction Problems on a Rigid Periodic Boundary
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\pages 138--140
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\transl
\jour Math. Notes
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\pages 129--131
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Linking options:
  • https://www.mathnet.ru/eng/mzm606
  • https://doi.org/10.4213/mzm606
  • https://www.mathnet.ru/eng/mzm/v73/i1/p138
  • This publication is cited in the following 52 articles:
    1. S. A. Nazarov, “Spectral gaps in a thin-walled infinite rectangular Dirichlet box with a periodic family of cross walls”, Sb. Math., 214:7 (2023), 982–1023  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. S. A. Nazarov, “Natural Oscillations of an Elastic Half-Strip with a Different Arrangement of Fixation Areas of Its Edges”, Akusticheskii zhurnal, 69:4 (2023), 398  crossref
    3. Gonçalo A. S. Dias, “Trapped modes along periodic structures submerged in a two‐layer fluid with background steady flow”, Math Methods in App Sciences, 46:17 (2023), 18274  crossref
    4. S. A. Nazarov, “Elastic Waves Trapped by Semi-Infinite Strip with Clamped Lateral Sides and a Curved or Broken End”, Prikladnaya matematika i mekhanika, 87:2 (2023), 265  crossref
    5. S. A. Nazarov, “Natural Oscillations of an Elastic Half-Strip with a Different Arrangement of Fixation Areas of Its Edges”, Acoust. Phys., 69:4 (2023), 424  crossref
    6. S. A. Nazarov, “Elastic Waves Trapped by a Semi-infinite Strip with Clamped Lateral Sides and a Curved or Broken End”, Mech. Solids, 58:7 (2023), 2619  crossref
    7. S. A. Nazarov, “Rayleigh Waves for Elliptic Systems in Domains with Periodic Boundaries”, Diff Equat, 58:5 (2022), 631  crossref
    8. S. A. Nazarov, “Propagating and standing Rayleigh waves near rivet chains connecting Kirchhoff plates”, Siberian Math. J., 62:6 (2021), 1084–1099  mathnet  crossref  crossref  isi  elib
    9. Cal E.S., Dias G.A.S., Pereira B.M.M., Videman J.H., “Trapped Modes in a Multi-Layer Fluid”, Q. J. Mech. Appl. Math., 74:1 (2021), 33–54  crossref  mathscinet  isi
    10. Bakharev F.L., Matveenko S.G., “Localization of Eigenfunctions in a Narrow Kirchhoff Plate”, Russ. J. Math. Phys., 28:2 (2021), 156–178  crossref  mathscinet  isi  scopus
    11. S. A. Nazarov, “Trapping of Waves in Semiinfinite Kirchhoff Plate with Periodically Damaged Edge”, J Math Sci, 257:5 (2021), 684  crossref
    12. S. G. Matveenko, “Decaying Solutions to the Diffraction Problem on a Semiinfinite Thin Kirchhoff Plate with Periodic Traction-Free-Edge”, J Math Sci, 255:4 (2021), 467  crossref
    13. S. A. Nazarov, “Trapping of a wave in a curved cylindrical acoustic waveguide with constant cross-section”, St. Petersburg Math. J., 31:5 (2020), 865–885  mathnet  crossref  isi  elib
    14. S. A. Nazarov, “Waves in a Plane Rectangular Lattice of Thin Elastic Waveguides”, J Math Sci, 242:2 (2019), 227  crossref
    15. Nazarov S.A., “Spectrum of a Problem of Elasticity Theory in the Union of Several Infinite Layers”, Russ. J. Math. Phys., 25:1 (2018), 73–87  crossref  mathscinet  zmath  isi  scopus  scopus
    16. 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
    17. F. L. Bakharev, S. G. Matveenko, S. A. Nazarov, “Discrete spectrum of x-shaped waveguide”, St. Petersburg Math. J., 28:2 (2017), 171–180  mathnet  crossref  mathscinet  isi  elib
    18. Nazarov S.A., Ruotsalainen K.M., Silvola M., “Trapped Modes in Piezoelectric and Elastic Waveguides”, J. Elast., 124:2 (2016), 193–223  crossref  mathscinet  zmath  isi  elib  scopus
    19. Nazarov S.A., Perez E., Taskinen J., “Localization effect for Dirichlet eigenfunctions in thin non-smooth domains”, Trans. Am. Math. Soc., 368:7 (2016), 4787–4829  crossref  mathscinet  zmath  isi  scopus
    20. Nazarov S.A., Ruotsalainen K.M., Silvola M., “Trapped Modes Under Interaction of Elastic and Electric Fields in a Piezoelectric Waveguide”, Dokl. Phys., 60:10 (2015), 451–455  crossref  mathscinet  isi  elib  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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