caa a22 4500 388109173 CHVBK 20180307125348.0 cr unu---uuuuu 161130s1999 xx s 000 0 eng 10.1017/S0308210500013160 doi S0308210500013160 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500013160 Owen Mark P. Department of Mathematics, King's College London, Strand, London WC2R 2LS, UK (mowen@fam.tuwien.ac.at) The Hardy-Rellich inequality for polyharmonic operators [Elektronische Daten] [Mark P. Owen] The Hardy-Rellich inequality given here generalizes a Hardy inequality of Davies, from the case of the Dirichlet Laplacian of a region Ω ⊆ ℝN 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. Copyright © Royal Society of Edinburgh 1999 Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/4(1999), 825-839 0308-2105 129:4<825 1999 129 PRM https://doi.org/10.1017/S0308210500013160 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500013160 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Owen Mark P. Department of Mathematics, King's College London, Strand, London WC2R 2LS, UK (mowen@fam.tuwien.ac.at) NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/4(1999), 825-839 0308-2105 129:4<825 1999 129 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge