Abstract
SynopsisWe 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.
Publisher
Cambridge University Press (CUP)
Reference15 articles.
1. 15 Robinette J. B. . On the Dirichlet index of singular differential operators, unpublished manuscript.
2. Weighted norm inequalities of sum form involving derivatives
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1 articles.
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1. On the dirichlet index conjecture;Lecture Notes in Mathematics;1987