Operator estimates for the crushed ice problem

DOI10.3233/ASY-181480zbMath1415.35024arXiv1710.03080OpenAlexW2963217305WikidataQ128951535 ScholiaQ128951535MaRDI QIDQ4633443

Andrii Khrabustovskyi, Olaf Post

Publication date: 2 May 2019

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

Full work available at URL: https://arxiv.org/abs/1710.03080

zbMATH Keywords

homogenizationnorm resolvent convergencevarying Hilbert spacesoperator estimatescrushed ice problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (13)

Neumann Laplacian in a perturbed domain ⋮ Operator estimates for homogenization of the Robin Laplacian in a perforated domain ⋮ Graph‐like spaces approximated by discrete graphs and applications ⋮ Asymptotic expansion of solution to Dirichlet problem in perforated domain: strange term case ⋮ Generalised norm resolvent convergence: comparison of different concepts ⋮ Spectrum of the Laplacian on a Domain Perturbed by Small Resonators ⋮ Operator estimates for the Neumann sieve problem ⋮ Homogenization for operators with arbitrary perturbations in coefficients ⋮ Magnetic Neumann Laplacian on a domain with a hole ⋮ Wildly perturbed manifolds: norm resolvent and spectral convergence ⋮ Convergence of Laplacians on smooth spaces towards the fractal Sierpiński gasket ⋮ A Strange Vertex Condition Coming from Nowhere ⋮ Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: vanishing limit

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