@article{Goudey2022, 
author = {Rémi Goudey},
title = {A periodic homogenization problem with defects rare at infinity},
year = {2022},
journal = {Networks and Heterogeneous Media},
volume = {17},
number = {4},
pages = {547-592},
keywords = {Homogenization, elliptic PDEs, defects, corrector equation, convergence estimates},
url = {https://www.sciopen.com/article/10.3934/nhm.2022014},
doi = {10.3934/nhm.2022014},
abstract = {We consider a homogenization problem for the diffusion equation    −  div  ⁡      (                  a                  ε                    ∇              u                  ε                      )    =  f when the coefficient        a          ε       is a non-local perturbation of a periodic coefficient. The perturbation does not vanish but becomes rare at infinity in a sense made precise in the text. We prove the existence of a corrector, identify the homogenized limit and study the convergence rates of        u          ε       to its homogenized limit.}
}