On the regularity of elliptic differential equations using symmetry techniques and suitable discrete spaces
Electronic Journal of Differential Equations, Tome 1996 (1996) no. 11.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 65D10
Keywords: regularity of elliptic differential equations
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     author = {Pflaum, Christoph},
     title = {On the regularity of elliptic differential equations using symmetry techniques and suitable discrete spaces},
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Pflaum, Christoph. On the regularity of elliptic differential equations using symmetry techniques and suitable discrete spaces. Electronic Journal of Differential Equations, Tome 1996 (1996) no. 11. http://geodesic.mathdoc.fr/item/EJDE_1996__1996_11_a0/