The Hardy-Rellich inequality for polyharmonic operators

被引：38
作者：
Owen, MP [1 ]
机构：
[1] Univ London Kings Coll, Dept Math, London WC2R 2LS, England
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1999年 / 129卷
基金：
英国工程与自然科学研究理事会;
关键词：
D O I：
10.1017/S0308210500013160
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Hardy-Rellich inequality given here generalizes a Hardy inequality of Davies, from the case of the Dirichlet Laplacian of a region Omega subset of or equal to R-N to that of the higher-order polyharmonic operators with Dirichlet boundary conditions. The inequality yields some immediate spectral information for the polyharmonic operators and also bounds on the trace of the associated semigroups and resolvents.
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页码：825 / 839
页数：15
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