Bounded evaluations for linear elliptic differential operators

Thomas Bagby, James E. Brennan

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 languageEnglish
Pages (from-to)132-136
Number of pages5
JournalProceedings of the American Mathematical Society
Volume41
Issue number1
DOIs
StatePublished - Nov 1973

Keywords

  • Bounded point evaluation
  • Elliptic partial differential operator

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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