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A Friedrichs inequality and an application

Published online by Cambridge University Press:  14 November 2011

Roger T. Lewis
Roger T. Lewis
Affiliation:
Department of Mathematics, University of Alabama in Birmingham, Birmingham, Alabama 35294, U.S.A.
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Synopsis

An inequality whose origins date to the work of G. H. Hardy is presented. This Hardy-type inequality applies to derivatives of arbitrary order of functions whose domain is a subset of ℝn. The Friedrichs inequality is a corollary. The result is then used to establish lower bounds on the essential spectra of even-order elliptic partial differential operators on unbounded domains.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 97 , 1984 , pp. 185 - 191
Copyright
Copyright © Royal Society of Edinburgh 1984

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