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HÖLDER ESTIMATES FOR LINEAR SECOND-ORDER EQUATIONS

Published online by Cambridge University Press:  17 November 2010

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

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.

Type
Research Article
Copyright
Copyright © University College London 2010

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