Spectral asymptotics for a singularly perturbed fourth order locally periodic elliptic operator

DOI10.3233/ASY-151291zbMath1333.35136arXiv1408.3627MaRDI QIDQ3195301

Klas Pettersson, Aleksandra G. Chechkina, Iryna L. Pankratova

Publication date: 16 October 2015

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3627

zbMATH Keywords

homogenizationspectral problemslocalization of eigenfunctionshigher order equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Boundary value problems for higher-order elliptic equations (35J40) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theory of linear operators (47A55) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials ⋮ Subcritical perturbation of a locally periodic elliptic operator

Cites Work

• Bloch wave homogenization and spectral asymptotic analysis
• Homogenization of periodic systems with large potentials
• Localization Effect for a Spectral Problem in a Perforated Domain with Fourier Boundary Conditions
• Homogenization and Two-Scale Convergence
• UNIFORM SPECTRAL ASYMPTOTICS FOR SINGULARLY PERTURBED LOCALLY PERIODIC OPERATORS
• Asymptotic behaviour of nonlinear elliptic higher order equations in perforated domains
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral asymptotics for a singularly perturbed fourth order locally periodic elliptic operator