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A second order Dirichlet differential expression that is not bounded below

Published online by Cambridge University Press:  14 November 2011

Man Kam Kwong
Man Kam Kwong
Affiliation:
Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois 60115, U.S.A.
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Synopsis

We give in this note a second order singular differential expression of the form Lf = −f″ + qf on [0, ∞) that satisfies the Dirichlet condition but that is not bounded below.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 83 , Issue 1-2 , 1979 , pp. 39 - 43
Copyright
Copyright © Royal Society of Edinburgh 1979

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