Autor(en): | Schweizer, Ben Melcher, Christof |
Titel: | Direct approach to L^p estimates in homogenization theory |
Sprache (ISO): | en |
Zusammenfassung: | 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. |
Schlagwörter: | heterogeneous media elliptic systems regularity theory BMO two-scale convergence |
URI: | http://hdl.handle.net/2003/26958 http://dx.doi.org/10.17877/DE290R-153 |
Erscheinungsdatum: | 2008-03-26 |
Provinienz: | Springer-Verlag |
URL: | http://dx.doi.org/10.1007/s10231-008-0078-1 |
Zitierform: | 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 |
Enthalten in den Sammlungen: | Schweizer, Ben Prof. Dr. |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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bmo_preprint.pdf | 201.77 kB | Adobe PDF | Öffnen/Anzeigen |
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