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The Dirichlet index under minimal conditions

Published online by Cambridge University Press:  14 November 2011

R. C. Brown
R. C. Brown
Affiliation:
Department of Mathematics, University of Alabama, University, Alabama 35486, U.S.A.
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Synopsis

We extend several known properties of the Dirichlet index to the case of minimal conditions and prove that the index is invariant under positive t bounded perturbations of the associated quadratic form. The index is also shown to be minimal for fourth order operators with certain growth conditions on some of their coefficients.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 96 , Issue 3-4 , 1984 , pp. 303 - 316
Copyright
Copyright © Royal Society of Edinburgh 1984

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