Electron. J. Diff. Eqns. Vol. 1996(1996), No. 11, pp. 1-9.

On the Regularity of Elliptic Differential Equations Using Symmetry Techniques and Suitable Discrete Spaces

Christoph Pflaum

Abstract:
We present an elementary and short proof for regularity of second order elliptic differential equations with homogeneous Dirichlet boundary conditions. The proof uses a discrete function space with piecewise multilinear functions and symmetry techniques on the unit cube.

Submitted July 25, 1996. Published November 22, 1996.
Math Subject Classification: 65D10.
Key Words: regularity of elliptic differential equations.

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photo Christoph Pflaum
Institute of Applied Mathematics and Statistics, University of Wurzburg, Am Hubland, 97074 Wurzburg, Germany
e-mail: pflaum@mathematik.uni-wuerzburg.de
http://ifamus.mathematik.uni-wuerzburg.de/~pflaum/

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