About: A Hardy inequality in twisted waveguides

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Ukazujeme, ze zkrouceni nekonecne trubice nekruhoveho prurezu vede k nerovnostem Hardyho typu pro odpovidajici dirichletovsky laplacian. Jako aplikaci dokazeme jistou stabilitu spektra pro laplacian v lokalne zkroucenych a ohnutych trubicich. (cs) We show that twisting of an infinite straight three-dimensional tube with non-circular cross-section gives rise to a Hardy-type inequality for the associated Dirichlet Laplacian. As an application we prove certain stability of the spectrum of the Dirichlet Laplacian in locally and mildly bent tubes. Namely, it is known that any local bending, no matter how small, generates eigenvalues below the essential spectrum of the Laplacian in the tubes with arbitrary cross-sections rotated along a reference curve in an appropriate way. In the present paper we show that for any other rotation some critical strength of the bending is needed in order to induce a non-empty discrete spectrum. We show that twisting of an infinite straight three-dimensional tube with non-circular cross-section gives rise to a Hardy-type inequality for the associated Dirichlet Laplacian. As an application we prove certain stability of the spectrum of the Dirichlet Laplacian in locally and mildly bent tubes. Namely, it is known that any local bending, no matter how small, generates eigenvalues below the essential spectrum of the Laplacian in the tubes with arbitrary cross-sections rotated along a reference curve in an appropriate way. In the present paper we show that for any other rotation some critical strength of the bending is needed in order to induce a non-empty discrete spectrum. (en)
Title	A Hardy inequality in twisted waveguides A Hardy inequality in twisted waveguides (en) Hardyho nerovnost ve zkroucenych vlnovodech (cs)
skos:prefLabel	A Hardy inequality in twisted waveguides A Hardy inequality in twisted waveguides (en) Hardyho nerovnost ve zkroucenych vlnovodech (cs)
skos:notation	RIV/61389005:_____/08:00311173!RIV09-AV0-61389005
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(LC06002), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Kovařík, Hynek Krejčiřík, David
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav jaderné fyziky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	354211
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/08:00311173
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	magnetic schrodinger operator; bound-states; spectrum (en)
http://linked.open.../riv/klicoveSlovo	magnetic schrodinger operator spectrum bound-states
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[4542A03E7E12]
http://linked.open...i/riv/nazevZdroje	Archive for Rational Mechanics and Analysis
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	188
http://linked.open...iv/tvurceVysledku	Krejčiřík, David Kovařík, Hynek Ekholm, T.
http://linked.open...ain/vavai/riv/wos	000254176700003
http://linked.open...n/vavai/riv/zamer	Jaderná fyzika a příbuzné obory v základním, aplikovaném a interdisciplinárním výzkumu
issn	0003-9527
number of pages	20 (xsd:int)
is http://linked.open...avai/riv/vysledek of	A Hardy inequality in twisted waveguides A Hardy inequality in twisted waveguides A Hardy inequality in twisted waveguides A Hardy inequality in twisted waveguides

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