Homogenization of eigenvalue problem for Laplace–Beltrami operator on Riemannian manifold with complicated ‘bubble‐like’ microstructure

DOI10.1002/mma.1128zbMath1176.35018OpenAlexW2114444973MaRDI QIDQ3643548

Andrii Khrabustovskyi

Publication date: 9 November 2009

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1128

zbMATH Keywords

Riemannian manifoldLaplace-Beltrami operatorlarge time behaviornatural oscillationshomogenized eigenvalue problem

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (4)

Operator estimates for homogenization of the Robin Laplacian in a perforated domain ⋮ Operator estimates for the Neumann sieve problem ⋮ Periodic Riemannian manifold with preassigned gaps in spectrum of Laplace-Beltrami operator ⋮ Neumann spectral problem in a domain with very corrugated boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Homogenization of harmonic vector fields on Riemannian manifolds with complicated microstructure
• Non-homogeneous media and vibration theory
• On the limiting behaviour of the spectrum of a sequence of operators defined on different Hilbert spaces
• A trust-region method with a conic model for unconstrained optimization
• Asymptotic behaviour of spectrum of Laplace–Beltrami operator on Riemannian manifolds with complex microstructure
• An extension theorem from connected sets, and homogenization in general periodic domains

This page was built for publication: Homogenization of eigenvalue problem for Laplace–Beltrami operator on Riemannian manifold with complicated ‘bubble‐like’ microstructure