The asymptotic behaviour near the boundary of periodic homogenization problems via two-scale convergence
Juan Casado‐Díaz · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2008
The usual asymptotic expansion for the solutions of an elliptic linear problem with oscillatory periodic coefficients is known to not be accurate near the boundary. In order to obtain a better approximation it is necessary to add to this expansion a boundary-layer term. This term has been obtained by other authors in the case of a plane boundary, such that its normal is proportional to some period. We consider the case where the normal is arbitrary.špace{-8pt}