A Strange Vertex Condition Coming from Nowhere
From MaRDI portal
Publication:4997161
DOI10.1137/20M1322194zbMath1468.35015arXiv1802.00494OpenAlexW3169476796MaRDI QIDQ4997161
Publication date: 28 June 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.00494
Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic analysis of boundary-value problems in thin perforated domains with rapidly varying thickness
- Thin domains with non-smooth periodic oscillatory boundaries
- Opening of a gap in the continuous spectrum of a periodically perturbed waveguide
- Convergence of spectra of graph-like thin manifolds
- Spectral analysis on graph-like spaces
- Asymptotics for eigenvalues of the Laplacian in higher dimensional periodically perforated domains
- Some estimates from homogenized elasticity problems
- Regular convergence of operators and approximate solution of equations
- Potential and scattering theory on wildly perturbed domains
- Local convergence of spectra and pseudospectra
- Convergence of sequences of linear operators and their spectra
- Locally periodic thin domains with varying period
- Spectral convergence of quasi-one-dimensional spaces
- Diskrete Konvergenz linearer Operatoren. I
- Diskrete Konvergenz linearer Operatoren. II
- Norm convergence of sectorial operators on varying Hilbert spaces
- Elliptic problems in thin domains with highly oscillating boundaries
- Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve
- On an extension of the method of two-scale convergence and its applications
- Operator estimates for the crushed ice problem
- Norm-resolvent convergence in perforated domains
- Asymptotic analysis of boundary value and spectral problems in thin perforated regions with rapidly changing thickness and different limiting dimensions