Bounded evaluations for linear elliptic differential operators

Thomas Bagby; James E. Brennan

doi:10.1090/S0002-9939-1973-0318655-2

Bounded evaluations for linear elliptic differential operators

Thomas Bagby, James E. Brennan

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	132-136
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	41
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1973-0318655-2
State	Published - Nov 1973

Keywords

Bounded point evaluation
Elliptic partial differential operator

ASJC Scopus subject areas

Mathematics (all)
Applied Mathematics

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10.1090/S0002-9939-1973-0318655-2

Cite this

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title = "Bounded evaluations for linear elliptic differential operators",

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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year = "1973",

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AU - Brennan, James E.

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KW - Elliptic partial differential operator

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Bounded evaluations for linear elliptic differential operators

Abstract

Keywords

ASJC Scopus subject areas

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