. . "[4542A03E7E12]" . . "Hardyho nerovnost ve zkroucenych vlnovodech"@cs . "354211" . . "A Hardy inequality in twisted waveguides" . "Krej\u010Di\u0159\u00EDk, David" . . "P(LC06002), Z(AV0Z10480505)" . "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 . "RIV/61389005:_____/08:00311173!RIV09-AV0-61389005" . "000254176700003" . . . "0003-9527" . "2"^^ . . "Kova\u0159\u00EDk, Hynek" . "Archive for Rational Mechanics and Analysis" . . "Ekholm, T." . "Hardyho nerovnost ve zkroucenych vlnovodech"@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." . "188" . "2" . "3"^^ . "A Hardy inequality in twisted waveguides" . . . . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . "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 . "20"^^ . "magnetic schrodinger operator; bound-states; spectrum"@en . . "A Hardy inequality in twisted waveguides"@en . . "RIV/61389005:_____/08:00311173" . . "A Hardy inequality in twisted waveguides"@en .