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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Bounded evaluations for linear elliptic differential operators


Authors: Thomas Bagby and James E. Brennan
Journal: Proc. Amer. Math. Soc. 41 (1973), 132-136
MSC: Primary 35E99
MathSciNet review: 0318655
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Abstract: Bounds for point evaluations are obtained for spaces of solutions of elliptic partial differential equations on generalized ``Swiss cheese'' compacta in Euclidean space. In this way we generalize recent approximation theorems for differential operators due to Polking.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0318655-2
PII: S 0002-9939(1973)0318655-2
Keywords: Elliptic partial differential operator, bounded point evaluation
Article copyright: © Copyright 1973 American Mathematical Society