Borisov, Denis; Cardone, Giuseppe; Durante, Tiziana Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve. (English) Zbl 1361.35021 Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 6, 1115-1158 (2016). The authors use spectral analysis techniques to perform the homogenization of a class of linear elliptic operators posed in a strip perforated along a curve. The main result is the norm-resolvent convergence of the perturbed operator to the averaged one (in a number of operator norms) as well as the derivation of upper bounds on the expected convergence rate. Reviewer: Adrian Muntean (Karlstad) Cited in 14 Documents MSC: 35B27 Homogenization in context of PDEs; PDEs in media with periodic structure 35P05 General topics in linear spectral theory for PDEs 35J25 Boundary value problems for second-order elliptic equations Keywords:spectral techniques; perforated domains PDF BibTeX XML Cite \textit{D. Borisov} et al., Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 6, 1115--1158 (2016; Zbl 1361.35021) Full Text: DOI arXiv