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Found 62 Documents (Results 1–62)

Remark on justification of asymptotics of spectra of cylindrical waveguides with periodic singular perturbations of boundary and coefficients. (English. Russian original) Zbl 1472.35258

J. Math. Sci., New York 257, No. 5, 597-623 (2021); translation from Probl. Mat. Anal. 111, 43-65 (2021).
MSC:  35P20 35B27 35J25
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Anomalies of acoustic wave propagation in two semi-infinite cylinders connected by a flattened ligament. (English. Russian original) Zbl 1465.76093

Comput. Math. Math. Phys. 61, No. 4, 646-663 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 4, 666-683 (2021).
MSC:  76Q05 76M45
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Almost complete transmission of waves through perforated cross-walls in a waveguide with Dirichlet boundary condition. (English. Russian original) Zbl 1462.35378

Sib. Math. J. 62, No. 2, 272-291 (2021); translation from Sib. Mat. Zh. 62, No. 2, 339-361 (2021).
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Finite-dimensional approximations to the Poincaré-Steklov operator for general elliptic boundary value problems in domains with cylindrical and periodic exits to infinity. (English. Russian original) Zbl 1445.35157

Trans. Mosc. Math. Soc. 2019, 1-51 (2019); translation from Tr. Mosk. Mat. O.-va 80, No. 1, 1-62 (2019).
MSC:  35J57 47F05
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Asymptotics of eigenvalues in spectral gaps of periodic waveguides with small singular perturbations. (English. Russian original) Zbl 1437.35518

J. Math. Sci., New York 243, No. 5, 746-773 (2019); translation from Zap. Nauchn. Semin. POMI 471, 168-210 (2018).
MSC:  35P20
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Various manifestations of wood anomalies in locally distorted quantum waveguides. (English. Russian original) Zbl 1421.78020

Comput. Math. Math. Phys. 58, No. 11, 1838-1855 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 11, 1911-1931 (2018).
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Asymptotics of eigenvalues in spectral gaps under regular perturbations of walls of a periodic waveguide. (English. Russian original) Zbl 1439.35145

J. Math. Sci., New York 226, No. 4, 402-444 (2017); translation from Probl. Mat. Anal. 89, 63-98 (2017).
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Gap opening around a given point of the spectrum of a cylindrical waveguide by means of a gentle periodic perturbation of walls. (English. Russian original) Zbl 1348.35148

J. Math. Sci., New York 206, No. 3, 288-314 (2015); translation from Zap. Nauchn. Semin. POMI 422, 90-130 (2014).
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Enforced stability of a simple eigenvalue in the continuous spectrum of a waveguide. (English. Russian original) Zbl 1325.35120

Funct. Anal. Appl. 47, No. 3, 195-209 (2013); translation from Funkts. Anal. Prilozh. 47, No. 3, 37-53 (2013).
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Structure of the spectrum of a periodic family of identical cells connected by converging apertures. (English. Russian original) Zbl 1304.35458

J. Math. Sci., New York 194, No. 1, 72-82 (2013); translation from Zap. Nauchn. Sem. POMI 409, 130-150 (2012).
MSC:  35P20
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Asymptotics of eigenfrequencies that arise in gaps caused by a perturbation of a periodic waveguide. (English. Russian summary) Zbl 1398.35039

Dokl. Math. 86, No. 3, 871-875 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 4, 382-386 (2012).
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Asymptotic formulas for trapped modes and for eigenvalues below the threshold of the continuous spectrum of a waveguide with a thin screening barrier. (English. Russian original) Zbl 1251.35055

St. Petersbg. Math. J. 23, No. 3, 571-601 (2012); translation from Algebra Anal. 23, No. 3, 216-260 (2011).
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