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Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve. (English) Zbl 1361.35021
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.

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
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