Operator estimates for homogenization of the Robin Laplacian in a perforated domain
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Publication:2676539
DOI10.1016/j.jde.2022.08.005zbMath1502.35009arXiv2106.10216OpenAlexW3175412727MaRDI QIDQ2676539
Andrii Khrabustovskyi, Michael Plum
Publication date: 27 September 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.10216
homogenizationperforated domainspectral convergencenorm resolvent convergencevarying Hilbert spacesoperator estimates
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Perturbation theory of linear operators (47A55) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (5)
Asymptotic expansion of solution to Dirichlet problem in perforated domain: strange term case ⋮ Spectrum of the Laplacian on a Domain Perturbed by Small Resonators ⋮ Operator estimates for the Neumann sieve problem ⋮ Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations ⋮ Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: vanishing limit
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