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Continuity of the derivatives of solutions related to elliptic systems

Published online by Cambridge University Press:  12 July 2007

Maria Alessandra Ragusa
Maria Alessandra Ragusa
Affiliation:
Dipartimento di Matematica, Università di Catania, Viale A. Doria 6, 95125 Catania, Italy ([email protected])
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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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