Norm-resolvent convergence in perforated domains

DOI10.3233/ASY-181481zbMath1415.35021arXiv1706.05859OpenAlexW2963714463MaRDI QIDQ4633444

Frank Rösler, Kirill D. Cherednichenko, Patrick W. Dondl

Publication date: 2 May 2019

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

Full work available at URL: https://arxiv.org/abs/1706.05859

zbMATH Keywords

norm-resolvent convergence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (8)

Operator estimates for homogenization of the Robin Laplacian in a perforated domain ⋮ Asymptotic expansion of solution to Dirichlet problem in perforated domain: strange term case ⋮ Magnetic Neumann Laplacian on a domain with a hole ⋮ From Steklov to Neumann via homogenisation ⋮ Wildly perturbed manifolds: norm resolvent and spectral convergence ⋮ A Strange Vertex Condition Coming from Nowhere ⋮ Uniform convergence guarantees for the deep Ritz method for nonlinear problems ⋮ Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: vanishing limit

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