Continuity of the derivatives of solutions related to elliptic systems
Published online by Cambridge University Press: 12 July 2007
Abstract
We consider elliptic systems with discontinuous coefficients and prove that if the known term belongs to the Morrey space Lp,λ, then the highest-order derivatives of the local solution belong to the same space. We also obtain local Hölder continuity for lower-order derivatives.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 5 , October 2006 , pp. 1027 - 1039
- Copyright
- Copyright © Royal Society of Edinburgh 2006
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