Sharp regularity for elliptic systems associated with transmission problems. (English) Zbl 1277.35165
Summary: The paper concerns regularity theory for linear elliptic systems with divergence form arising from transmission problems. Estimates in BMO, Dini and Hölder spaces are derived simultaneously and the gaps among of them are filled by using Campanato-John-Nirenberg spaces. Results obtained in the paper are parallel to the classical regularity theory for elliptic systems.
MSC:
| 35J48 | Higher-order elliptic systems |
| 35D30 | Weak solutions to PDEs |
| 35B65 | Smoothness and regularity of solutions to PDEs |
References:
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