Full metadata record
DC Field | Value | Language |
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dc.contributor.author | Schweizer, Ben | - |
dc.contributor.author | Melcher, Christof | - |
dc.date.accessioned | 2010-03-04T10:19:38Z | - |
dc.date.available | 2010-03-04T10:19:38Z | - |
dc.date.issued | 2008-03-26 | - |
dc.identifier.citation | Melcher, Christof; Schweizer, Ben: Direct approach to L^p estimates in homogenization theory. - In: Annali di Matematica Pura ed Applicata, 188(3), 399, 2009. - DOI: 10.1007/s10231-008-0078-1 | de |
dc.identifier.issn | 1618-1891 | - |
dc.identifier.issn | 0373-3114 | - |
dc.identifier.uri | http://hdl.handle.net/2003/26958 | - |
dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-153 | - |
dc.description.abstract | We derive interior L^p-estimates for solutions of linear elliptic systems with oscillatory coefficients. The estimates are independent of e, the small length scale of the rapid oscillations. So far, such results are based on potential theory and restricted to periodic coefficients. Our approach relies on BMO-estimates and an interpolation argument, gradients are treated with the help of finite differences. This allows to treat coefficients that depend on a fast and a slow variable. The estimates imply an L^p-corrector result for approximate solutions. | en |
dc.language.iso | en | de |
dc.publisher | Springer-Verlag | de |
dc.rights | © Springer-Verlag 2008 | - |
dc.subject | heterogeneous media | en |
dc.subject | elliptic systems | en |
dc.subject | regularity theory | en |
dc.subject | BMO | en |
dc.subject | two-scale convergence | en |
dc.subject.ddc | 510 | - |
dc.title | Direct approach to L^p estimates in homogenization theory | en |
dc.type | Text | de |
dc.identifier.doi | 10.1007/s10231-008-0078-1 | - |
dc.type.publicationtype | article | de |
dc.identifier.url | http://dx.doi.org/10.1007/s10231-008-0078-1 | - |
dcterms.accessRights | open access | - |
Appears in Collections: | Schweizer, Ben Prof. Dr. |
Files in This Item:
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bmo_preprint.pdf | 201.77 kB | Adobe PDF | View/Open |
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