Rate of convergence of eigenvalues to singularly perturbed Steklov-type problem for elasticity system
From MaRDI portal
Publication:4628931
DOI10.1080/00036811.2017.1416104zbMath1414.35020OpenAlexW2779995970MaRDI QIDQ4628931
Umberto De Maio, Ciro D' Apice, Aleksandra G. Chechkina
Publication date: 25 March 2019
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2017.1416104
General topics in linear spectral theory for PDEs (35P05) Classical linear elasticity (74B05) Estimates of eigenvalues in context of PDEs (35P15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (4)
On the asymptotic behaviour of eigenvalues of a boundary-value problem in a planar domain of Steklov sieve type ⋮ Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition ⋮ Operator estimates for the Steklov problem in an unbounded domain with rapidly changing conditions on the boundary ⋮ On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary
Cites Work
- On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition
- On singular perturbations of a Steklov-type problem with asymptotically degenerate spectrum
- On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity
- On boundary-value problems for the Laplacian in bounded domains with micro inhomogeneous structure of the boundaries
- Asymptotics of the solution of a Dirichlet spectral problem in a junction with highly oscillating boundary
- Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction
- On the vibration of a partially fastened membrane with many `light' concentrated masses on the boundary
- Functional analysis, Sobolev spaces and partial differential equations
- Homogenization in domains randomly perforated along the boundary
- Boundary homogenization for elliptic problems
- The weighted Korn inequality: The tetris procedure that serves for an arbitrary periodic plate.
- Averaging operators with boundary conditions of fine-scaled structure
- Weighted Korn's inequality for a thin plate with a rough surface.
- A boundary value problem for the~Laplacian with rapidly changing type of~boundary conditions in a~multidimensional domain
- Waveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptotics
- Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve
- Homogenization of spectral problems with singular perturbation of the Steklov condition
- Homogénéisation de frontières par épi-convergence en élasticité linéaire
- Asymptotics of the solution of the problem of deformation of an arbitrary locally periodic thin plate
- Homogenization of the planar waveguide with frequently alternating boundary conditions
- Asymptotic behaviour of an elastic body with a surface having small stuck regions
- Non-periodic boundary homogenization and "light" concentrated masses
- On eigenvibrations of a body with “light” concentrated masses on the surface
- Freund-Witten adelic formulae for Veneziano and Virasoro-Shapiro amplitudes
- Estimate of the spectrum deviation of the singularly perturbed Steklov problem
- On the resolvent of multidimensional operators with frequently changing boundary conditions in the case of the homogenized Dirichlet condition
- On the Steklov problem in a domain perforated along a part of the boundary
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Rate of convergence of eigenvalues to singularly perturbed Steklov-type problem for elasticity system
