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HÖLDER ESTIMATES FOR LINEAR SECOND-ORDER EQUATIONS

Part of: Partial differential equations Elliptic equations and systems

Published online by Cambridge University Press:  17 November 2010

C. G. Böhmer
C. G. Böhmer*
Affiliation:
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, U.K. (email: c.boehmer@ucl.ac.uk)

Abstract

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We consider uniformly elliptic, second-order, linear partial differential equations depending on three variables in bounded domains. We obtain interior Hölder estimates for the first derivatives of the bounded solutions independent of the regularity assumptions of the differential operator.

MSC classification

Secondary: 35J15: Second-order elliptic equations 35B45: A priori estimates

Information

Type
Research Article
Information
Mathematika , Volume 57 , Issue 2 , July 2011 , pp. 315 - 327
Copyright
Copyright © University College London 2010

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