Electron. J. Diff. Eqns. Vol. 1996(1996), No. 11, pp. 1-9.
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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Institute of Applied Mathematics and Statistics, University of Wurzburg, Am Hubland, 97074 Wurzburg, Germany
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