Elliptic difference equations and interior regularity |
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| Authors: | Vidar Thomée Bertil Westergren |
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| Affiliation: | (1) Department of Mathematics Chalmers Institute of Technology, The University of Göteborg, Sven Hultins gata, Göteborg, Sweden |
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| Abstract: | Summary Letu be a solution of an elliptic differential equation and letuh be a solution of a corresponding elliptic difference equation. It is proved that ifuh converges tou at a certain rate as the mesh-widthh tends to zero, then the appropriate difference quotient ofuh converges to the corresponding derivative ofu at the same rate whenh tends to zero. |
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