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Found 45 Documents (Results 1–45)

On the asymptotic behaviour of eigenvalues of a boundary-value problem in a planar domain of Steklov sieve type. (English. Russian original) Zbl 1406.35032

Izv. Math. 82, No. 6, 1108-1135 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 6, 37-64 (2018).
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On an eigenvalue for the Laplace operator in a disk with Dirichlet boundary condition on a small part of the boundary in a critical case. (English. Russian original) Zbl 1345.35019

Proc. Steklov Inst. Math. 292, Suppl. 1, S76-S90 (2016); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 1, 56-70 (2015).
MSC:  35J05 35P15
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On the eigenvalue of the Laplacian in a domain perforated along the boundary. (English. Russian original) Zbl 1205.35171

Dokl. Math. 81, No. 3, 337-341 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 432, No. 1, 7-11 (2010).
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On regular and singular perturbations of the eigenelements of the Laplacian. (English) Zbl 1221.35110

Constanda, C. (ed.) et al., Integral methods in science and engineering. Volume 1: Analytic methods. Papers presented at the 10th international conference on integral methods in science and engineering (IMSE 2008), Santander, Spain, July 7–10, 2008. Basel: Birkhäuser (ISBN 978-0-8176-4898-5/hbk; 978-0-8176-4899-2/ebook). 135-148 (2010).
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Asymptotics of simple eigenvalues and eigenfunctions for the Laplace operatorl in a domain with an oscillating boundary. (English) Zbl 1210.35032

Zh. Vychisl. Mat. Mat. Fiz. 46, No. 1, 102-115 (2006); translation in Comput. Math. Math. Phys. 46, No. 1, 97-110 (2006).
MSC:  35J05
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On domains with a narrow isthmus in the critical case. (English) Zbl 1126.35346

Danilin, A. R. (ed.), Asymptotic expansions, approximation theory, topology. Transl. from the Russian. Moscow: Maik Nauka / Interperiodica. Proceedings of the Steklov Institute of Mathematics 2003, Suppl. 1, S68-S74 (2003).
MSC:  35P20 34L15 35J05
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On a model analogue of the Helmholtz resonator in homogenization. (English. Russian original) Zbl 1022.35003

Proc. Steklov Inst. Math. 236, 70-77 (2002); translation from Tr. Mat. Inst. Steklova 236, 79-86 (2002).
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On the spectrum of the Laplacian with frequently alternating boundary conditions. (English. Russian original) Zbl 0945.35066

Theor. Math. Phys. 118, No. 3, 272-277 (1999); translation from Teor. Mat. Fiz. 118, No. 3, 347-353 (1999).
MSC:  35P05 35J05 35B25
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A boundary value problem for the Laplacian with rapidly changing type of boundary conditions in a multidimensional domain. (English. Russian original) Zbl 0939.35048

Sib. Math. J. 40, No. 2, 229-244 (1999); translation from Sib. Mat. Zh. 40, No. 2, 271-287 (1999).
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On the perturbation of the Laplacian spectrum when the boundary condition type changes on a small part of the boundary. (English. Russian original) Zbl 1161.35311

Comput. Math. Math. Phys. 36, No. 7, 889-898 (1996); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 7, 77-88 (1996).
MSC:  35B25 35C20 35J05
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On scattering of polarized electromagnetic field by ideal conductive cylinder with narrow slit. (English) Zbl 0858.35121

Kalyakin, L. A. (ed.) et al., Asymptotics and symmetries in nonlinear dynamical systems. Ufa: Institut Matematiki s Vychislitel’nym Tsentrom RAN. 105-119 (1995).
MSC:  35Q60 78A45 35J05
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On the scattering of an \(H\)-polarized electromagnetic field by an ideal conductive cylinder with a narrow lengthwise split of finite depth. (English. Russian original) Zbl 0872.35113

J. Math. Sci., New York 83, No. 2, 204-209 (1997); translation from Zap. Nauchn. Semin. POMI 210, 65-72 (1994).
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Splitting a multiple eigenvalue in the boundary value problem for a membrane clamped on a small part of the boundary. (English. Russian original) Zbl 0827.35082

Sib. Math. J. 34, No. 3, 433-450 (1993); translation from Sib. Mat. Zh. 34, No. 3, 43-61 (1993).
Reviewer: G.Bottaro (Genova)
MSC:  35P05 35J05 35P10
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