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The Friedrichs extension of regular ordinary differential operators

Published online by Cambridge University Press:  14 November 2011

Heinz-Dieter Niessen  and
Anton Zettl
Heinz-Dieter Niessen
Affiliation:
Department of Mathematics, University of Essen, Essen, Germany
Anton Zettl
Affiliation:
Department of Mathematics, University of Essen, Essen, Germany
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Synopsis

For regular symmetric ordinary differential expressions we show that (i) the minimal operator is bounded below and (ii) the Friedrichs extension is determined by Dirichlet boundary conditions. Both proofs are based on elementary inequalities.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 114 , Issue 3-4 , 1990 , pp. 229 - 236
Copyright
Copyright © Royal Society of Edinburgh 1990

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