The asymptotic behaviour near the boundary of periodic homogenization problems via two-scale convergence
Published online by Cambridge University Press: 05 February 2008
Abstract
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}
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 138 , Issue 1 , February 2008 , pp. 33 - 66
- Copyright
- 2008 Royal Society of Edinburgh
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