0311859 - ÚJF 2009 RIV DE eng J - Journal Article
Kovařík, Hynek - Krejčiřík, David
A Hardy inequality in a twisted Dirichlet-Neumann waveguide.
[Hardyho nerovnost ve zkroucenem direchletovsko-neumannovskem vlnovodu.]
Mathematische Nachrichten. Roč. 281, č. 8 (2008), s. 1159-1168. ISSN 0025-584X. E-ISSN 1522-2616
R&D Projects: GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10480505
Keywords : Laplacian * Dirichlet and Neumann boundary conditions * twist
Subject RIV: BE - Theoretical Physics
Impact factor: 0.537, year: 2008 ; AIS: 0.611, rok: 2008
DOI: https://doi.org/10.1002/mana.2006 10667

We consider the Laplacian in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to a Hardy inequality for the Laplacian. As a byproduct of our method, we obtain a simple proof of a theorem of Dittrich and Kriz [5].

Ukazujeme, ze nahle prepnuti dirichletovskych a neumannovskych hranicnich podminek na rovnem nekonecnem pasku vede k Hardyho nerovnosti pro odpovidajici laplacian. Jako vedlejsi vysledek nasi metody dostaneme jednoduchy dukaz teoremu Dittricha a Krize o neexistenci vazanych stavu.
Permanent Link: http://hdl.handle.net/11104/0163087