S. A. Nazarov, “Discrete spectrum of cranked, branchy, and periodic waveguides”, Algebra i Analiz, 23:2 (2011), 206–247; St. Petersburg Math. J., 23:2 (2012), 351

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Algebra i Analiz, 2011, Volume 23, Issue 2, Pages 206–247 (Mi aa1239)

This article is cited in 35 scientific papers (total in 35 papers)

Research Papers

Discrete spectrum of cranked, branchy, and periodic waveguides

S. A. Nazarov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St.-Petersburg, Russia

Full-text PDF (408 kB) Citations (35)

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Received: 10.10.2009

English version:
St. Petersburg Mathematical Journal, 2012, Volume 23, Issue 2, Pages 351–379
DOI: https://doi.org/10.1090/S1061-0022-2012-01200-8

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: S. A. Nazarov, “Discrete spectrum of cranked, branchy, and periodic waveguides”, Algebra i Analiz, 23:2 (2011), 206–247; St. Petersburg Math. J., 23:2 (2012), 351–379

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/aa1239

https://www.mathnet.ru/eng/aa/v23/i2/p206

This publication is cited in the following 35 articles:

G. Cardone, S. A. Nazarov, J. Taskinen, “Localization of eigenfunctions in the Dirichlet beaker”, Bulletin of London Math Soc, 56:4 (2024), 1362
Fedor Bakharev, Sergey Matveenko, “Fractional Laplacian in V‐shaped waveguide”, Mathematische Nachrichten, 2024
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
Lucas Chesnel, Sergei A. Nazarov, “Spectrum of the Dirichlet Laplacian in a thin cubic lattice”, ESAIM: M2AN, 57:6 (2023), 3251
F. L. Bakharev, S. G. Matveenko, “Spectra of the Dirichlet Laplacian in 3-dimensional polyhedral layers”, St. Petersburg Math. J., 35:4 (2024), 597–610
Bakharev F.L. Nazarov I A., “Existence of the Discrete Spectrum in the Fichera Layers and Crosses of Arbitrary Dimension”, J. Funct. Anal., 281:4 (2021), 109071
Egor D Kosov, “Total Variation Distance Estimates via L2-Norm for Polynomials in Log-concave Random Vectors”, International Mathematics Research Notices, 2021:21 (2021), 16494
Lifshits M., Nazarov A., “On Brownian Exit Times From Perturbed Multi-Strips”, Stat. Probab. Lett., 147 (2019), 1–5
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
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
Egor D. Kosov, “On Fractional Regularity of Distributions of Functions in Gaussian Random Variables”, FCAA, 22:5 (2019), 1249
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
Cardone G., Durante T., Nazarov S.A., “Embedded Eigenvalues of the Neumann Problem in a Strip With a Box-Shaped Perturbation”, J. Math. Pures Appl., 112 (2018), 1–40
Egor D. Kosov, “Fractional smoothness of images of logarithmically concave measures under polynomials”, Journal of Mathematical Analysis and Applications, 462:1 (2018), 390
S. A. Nazarov, “Open waveguides in a thin Dirichlet ladder: I. Asymptotic structure of the spectrum”, Comput. Math. Math. Phys., 57:1 (2017), 156–174
S. A. Nazarov, “Open waveguides in a thin Dirichlet lattice: II. Localized waves and radiation conditions”, Comput. Math. Math. Phys., 57:2 (2017), 236–252
Pankrashkin K., “Eigenvalue inequalities and absence of threshold resonances for waveguide junctions”, J. Math. Anal. Appl., 449:1 (2017), 907–925
Bakharev F.L., Matveenko S.G., Nazarov S.A., “Examples of Plentiful Discrete Spectra in Infinite Spatial Cruciform Quantum Waveguides”, Z. Anal. ihre. Anwend., 36:3 (2017), 329–341
Amore P., Boyd J.P., Fernandez F.M., Jacobo M., Zhevandrov P., “Bound States in Weakly Deformed Waveguides: Numerical Versus Analytical Results”, Anziam J., 59:2 (2017), 200–214
S. A. Nazarov, “Discrete spectrum of cranked quantum and elastic waveguides”, Comput. Math. Math. Phys., 56:5 (2016), 864–880

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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