- 97-421 Owen M.P.
- The Hardy-Rellich Inequality for Polyharmonic Operators
Jul 25, 97
(auto. generated ps),
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Abstract. The Hardy-Rellich inequality given here generalizes a Hardy inequality of
Davies, from the case of the Dirichlet Laplacian of a region
$\Omega\subseteq\real^N$ 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.