Skip to Main content Skip to Navigation
Journal articles

Local profiles and elliptic problems at different scales with defects

Abstract : We present a possible approach to approximate at both the coarse and fine scales the solution to an elliptic equation with oscillatory coefficient when this coefficient consists of a “nice”, say periodic, function that is locally perturbed. The approach is based on a local profile, solution to an equation similar to the corrector equation in classical homogenization. The well-posedness of that equation is explored, in various functional settings depending upon the locality of the perturbation. Some related problems are discussed.
Document type :
Journal articles
Complete list of metadata

Cited literature [14 references]  Display  Hide  Download
Contributor : Xavier Blanc <>
Submitted on : Friday, April 17, 2015 - 4:42:02 PM
Last modification on : Thursday, January 7, 2021 - 4:00:05 PM
Long-term archiving on: : Monday, September 14, 2015 - 10:15:24 AM


Files produced by the author(s)



Xavier Blanc, Claude Le Bris, Pierre Louis Lions. Local profiles and elliptic problems at different scales with defects. Comptes Rendus Mathématique, Elsevier Masson, 2015, pp.203-208. ⟨10.1016/j.crma.2015.01.003⟩. ⟨hal-01143311⟩



Record views


Files downloads