Author:
Bradley John S.,Hinton Don B.,Kauffman Robert M.
Abstract
SynopsisA quadratic functional Q is considered which is defined by an integral on a subset of functions in a weighted Hilbert space. The functional Q is minimized subject to the Dirichlet index of the associated differential operator being minimal. The infimum of Q is shown to be the least point in the spectrum of a certain self-adjoint operator which arises as a Friedrichs extension.
Publisher
Cambridge University Press (CUP)
Cited by
13 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Hardy’s, Carleman’s and Related Inequalities;Inequalities Involving Functions and Their Integrals and Derivatives;1991
2. On the dirichlet index conjecture;Lecture Notes in Mathematics;1987
3. Sufficient conditions for weighted inequalities of sum form;Journal of Mathematical Analysis and Applications;1985-12
4. Differential operators and quadratic inequalities with a degenerate weight;Journal of Mathematical Analysis and Applications;1984-02
5. The Dirichlet index under minimal conditions;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1984