Asymptotic expansions of eigenvalues and eigenfunctions of an elliptic operator in a domain with many “light” concentrated masses situated on the boundary. Two-dimensional case

From MaRDI portal
Publication:3372475

DOI10.1070/IM2005v069n04ABEH001665zbMath1102.35035OpenAlexW2024155176MaRDI QIDQ3372475

Gregory A. Chechkin

Publication date: 21 February 2006

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2005v069n04abeh001665




Related Items (19)

On the convergence of a nonlinear boundary-value problem in a perforated domainMembranes with thin and heavy inclusions: Asymptotics of spectraVibrating systems with rigid light-weight inclusions: asymptotics of the spectrum and eigenspacesAsymptotics of eigenelements to spectral problem in thick cascade junction with concentrated massesOn new types of vibrations of thick cascade junctions with concentrated massesOn boundary value problem with singular inhomogeneity concentrated on the boundaryOn the asymptotic behavior of a simple eigenvalue of a boundary value problem in a domain perforated along the boundaryPerturbation by slender potential of operators associated with sectorial formsPerturbation of the Steklov problem on a small part of the boundaryOperator estimates for elliptic problem with rapidly alternating Steklov boundary conditionAsymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the nodeAsymptotics for eigenelements of Laplacian in domain with oscillating boundary: multiple eigenvaluesOperator Pencil in a Domain with Concentrated Masses. A Scalar Analog of Linear HydrodynamicsAsymptotic 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 caseSpectral analysis of a nonlinear boundary-value problem in a perforated domain. Applications to the Friedrichs inequality in L_pEstimate of the spectrum deviation of the singularly perturbed Steklov problemOn the Friedrichs inequality in a domain perforated aperiodically along the boundary. Homogenization procedure. Asymptotics for parabolic problemsNeumann spectral problem in a domain with very corrugated boundarySpatial-skin effect for eigenvibrations of a thick cascade junction with ‘heavy’ concentrated masses




This page was built for publication: Asymptotic expansions of eigenvalues and eigenfunctions of an elliptic operator in a domain with many “light” concentrated masses situated on the boundary. Two-dimensional case