WIAS Preprint No. 2354, (2016)

Corrector estimates for a class of imperfect transmission problems


  • Reichelt, Sina

2010 Mathematics Subject Classification

  • 35B10 35B27 35B40 35D30 35J25


  • Homogenization, corrector results, error estimates, periodic unfolding, two-component domain, periodic interface, imperfect transmission




Based on previous homogenization results for imperfect transmission problems in two-component domains with periodic microstructure, we derive quantitative estimates for the difference between the microscopic and macroscopic solution. This difference is of order ερ, where ε > 0 describes the periodicity of the microstructure and ρ ∈ (0 , ½] depends on the transmission condition at the interface between the two components. The corrector estimates are proved without assuming additional regularity for the local correctors using the periodic unfolding method.

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