Spectral Approach to Homogenization of Elliptic Operators in a Perforated Space

DOI10.1142/9789813233867_0024zbMath1397.35017OpenAlexW4231338909MaRDI QIDQ4689619

Tatiana Suslina

Publication date: 16 October 2018

Published in: Ludwig Faddeev Memorial Volume (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789813233867_0024

zbMATH Keywords

homogenizationeffective operatoroperator error estimatesperiodic differential operatorsperforated space

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Second-order elliptic equations (35J15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (5)

Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast ⋮ Sharp operator‐norm asymptotics for thin elastic plates with rapidly oscillating periodic properties ⋮ A general homogenization result of spectral problem for linearized elasticity in perforated domains. ⋮ Wildly perturbed manifolds: norm resolvent and spectral convergence ⋮ Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures

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