Electron. J. Diff. Eqns., Vol. 2006(2006), No. 43, pp. 1-10.

Generalized viscosity solutions of elliptic PDEs and boundary conditions

Gustaf Gripenberg

Abstract:
Sufficient conditions are given for a generalized viscosity solution of an elliptic boundary value problem to satisfy the boundary values in the strong sense.

Submitted March 14, 2006. Published March 28, 2006.
Math Subject Classifications: 35K55, 35K65.
Key Words: Viscosity solutions; boundary conditions.

A corrigendum was posted on September 5, 2006. The author corrected Example 2.4. See the last page of this manuscript.

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Gustaf Gripenberg
Institute of Mathematics
Helsinki University of Technology
P.O. Box 1100, FIN-02015 TKK, Finland
email: gustaf.gripenberg@tkk.fi
http://www.math.tkk.fi/~ggripenb

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