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Found 19 Documents (Results 1–19)

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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Spectral problem in a domain perforated along the boundary. Perturbation of a multiple eigenvalue. (English. Russian original) Zbl 1301.35071

J. Math. Sci., New York 196, No. 3, 276-292 (2014); translation from Probl. Mat. Anal. 73, 31-45 (2013).
MSC:  35P20 35J20 35B27
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On Friedrichs inequalities for a disk. (English. Russian original) Zbl 1295.26019

Proc. Steklov Inst. Math. 281, Suppl. 1, S44-S58 (2013); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 2, 48-61 (2012).
MSC:  26D10
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On the spectrum of a periodic operator with a small localized perturbation. (English. Russian original) Zbl 1169.34056

Izv. Math. 72, No. 4, 659-688 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 4, 37-66 (2008).
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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 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 soliton-free structure of scattering data on perturbation of a two-dimensional soliton for the Davey-Stewartson equation II. (English. Russian original) Zbl 0889.35098

Theor. Math. Phys. 106, No. 2, 167-173 (1996); translation from Teor. Mat. Fiz. 106, No. 2, 200-208 (1996).
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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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