F. L. Bakharev, S. A. Nazarov, “Criteria for the absence and existence of bounded solutions at the threshold frequency in a junction of quantum waveguides”, Algebra i Analiz, 32:6 (2020), 1–23; St. Petersburg Math. J., 32:6 (2021), 955

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Algebra i Analiz, 2020, Volume 32, Issue 6, Pages 1–23 (Mi aa1728)

This article is cited in 9 scientific papers (total in 9 papers)

Research Papers

Criteria for the absence and existence of bounded solutions at the threshold frequency in a junction of quantum waveguides

F. L. Bakharev^a, S. A. Nazarov^b

^a Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
^b St. Petersburg State University, Mathematics and Mechanics Faculty

Full-text PDF (321 kB) Citations (9)

References:

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Funding agency	Grant number
Russian Science Foundation	17-11-01003

Received: 13.08.2018

English version:
St. Petersburg Mathematical Journal, 2021, Volume 32, Issue 6, Pages 955–973
DOI: https://doi.org/10.1090/spmj/1679

Document Type: Article

Language: Russian

Citation: F. L. Bakharev, S. A. Nazarov, “Criteria for the absence and existence of bounded solutions at the threshold frequency in a junction of quantum waveguides”, Algebra i Analiz, 32:6 (2020), 1–23; St. Petersburg Math. J., 32:6 (2021), 955–973

Citation in format AMSBIB

\Bibitem{BakNaz20}

\by F.~L.~Bakharev, S.~A.~Nazarov

\paper Criteria for the absence and existence of bounded solutions at the threshold frequency in a junction of quantum waveguides

\jour Algebra i Analiz

\yr 2020

\vol 32

\issue 6

\pages 1--23

\mathnet{http://mi.mathnet.ru/aa1728}

\transl

\jour St. Petersburg Math. J.

\yr 2021

\vol 32

\issue 6

\pages 955--973

\crossref{https://doi.org/10.1090/spmj/1679}

Linking options:

https://www.mathnet.ru/eng/aa1728

https://www.mathnet.ru/eng/aa/v32/i6/p1

This publication is cited in the following 9 articles:

S. A. Nazarov, “Gaps in the Spectrum of Thin Waveguides with Periodically Locally Deformed Walls”, Comput. Math. and Math. Phys., 64:1 (2024), 99
S. A. Nazarov, K. M. Ruotsalainen, P. J. Uusitalo, “Scattering Coefficients and Threshold Resonances in a Waveguide with Uniform Inflation of the Resonator”, J Math Sci, 283:4 (2024), 617
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
S. A. Nazarov, “Raspredelenie mod sobstvennykh kolebanii v plastine, zaglublennoi v absolyutno zhëstkoe poluprostranstvo”, Matematicheskie voprosy teorii rasprostraneniya voln. 53, Zap. nauchn. sem. POMI, 521, POMI, SPb., 2023, 154–199
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
S. A. Nazarov, “Asimptoticheskii analiz spektra kvantovogo volnovoda s shirokim “oknom” Neimana v svete mekhaniki treschin”, Matematicheskie voprosy teorii rasprostraneniya voln. 52, Zap. nauchn. sem. POMI, 516, POMI, SPb., 2022, 176–237
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
S. A. Nazarov, K. M. Ruotsalainen, P. I. Uusitalo, “Koeffitsienty rasseyaniya i porogovye rezonansy v volnovode pri ravnomernom rastyazhenii rezonatora”, Matematicheskie voprosy teorii rasprostraneniya voln. 51, Zap. nauchn. sem. POMI, 506, POMI, SPb., 2021, 175–209

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

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References:	52
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