Estimation of solutions of boundary-value problems in domains with concentrated masses located periodically along the boundary: case of light masses
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Publication:2387818
DOI10.1023/B:MATN.0000049687.89273.d9zbMath1076.35014OpenAlexW1964454765MaRDI QIDQ2387818
Publication date: 5 September 2005
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/b:matn.0000049687.89273.d9
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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Membranes with thin and heavy inclusions: Asymptotics of spectra ⋮ On boundary value problem with singular inhomogeneity concentrated on the boundary ⋮ On the precise asymptotics of the constant in Friedrich's inequality for functions vanishing on the part of the boundary with microinhomogeneous structure ⋮ Operator Pencil in a Domain with Concentrated Masses. A Scalar Analog of Linear Hydrodynamics ⋮ Asymptotic expansion of eigenelements of the Laplace operator in a domain with a large number of ‘light’ concentrated masses sparsely situated on the boundary. Two-dimensional case ⋮ On spectrum of the Laplacian in a circle perforated along the boundary: application to a Friedrichs-type inequality
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