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Found 375 Documents (Results 1–100)

Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime. arXiv:2401.10141

Preprint, arXiv:2401.10141 [math.NA] (2024).
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Asymptotic soliton-like solutions to the Benjamin-Bona-Mahony equation with variable coefficients and a strong singularity. (English. Russian original) Zbl 1487.35346

J. Math. Sci., New York 258, No. 3, 326-337 (2021); translation from Ukr. Mat. Visn. 18, No. 2, 226-242 (2021).
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Lagrangian tori and quantization conditions corresponding to spectral series of the Laplace operator on a surface of revolution with conical points. (English. Russian original) Zbl 1440.35223

Proc. Steklov Inst. Math. 307, 294-302 (2019); translation from Tr. Mat. Inst. Steklova 307, 319-327 (2019).
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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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Relative partition function of Coulomb plus delta interaction. (English) Zbl 1372.81129

Dittrich, Jaroslav (ed.) et al., Functional analysis and operator theory for quantum physics. The Pavel Exner anniversary volume. Dedicated to Pavel Exner on the occasion of his 70th birthday. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-175-0/hbk; 978-3-03719-675-5/ebook). EMS Series of Congress Reports, 1-29 (2017).
MSC:  81T28 35S11 35B25 81T55
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WKB solutions near an unstable equilibrium and applications. (English) Zbl 1451.81222

Kirillov, Oleg N. (ed.) et al., Nonlinear physical systems. Spectral analysis, stability and bifurcations. London: ISTE; Hoboken, NJ: John Wiley & Sons. Mech. Eng. Solid Mech. Ser., 1-39 (2014).
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