A Hardy inequality in a twisted Dirichlet-Neumann waveguide

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F08%3A00311859" target="_blank" >RIV/61389005:_____/08:00311859 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

A Hardy inequality in a twisted Dirichlet-Neumann waveguide

Original language description

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].

Czech name

Hardyho nerovnost ve zkroucenem direchletovsko-neumannovskem vlnovodu

Czech description

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 oneexistenci vazanych stavu.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

<a href="/en/project/LC06002" target="_blank" >LC06002: Doppler Institute for Mathematical Physics and Applied Mathematics</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2008

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematische Nachrichten

ISSN

0025-584X

e-ISSN

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Volume of the periodical

281

Issue of the periodical within the volume

8

Country of publishing house

DE - GERMANY

Number of pages

10

Pages from-to

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UT code for WoS article

000258751200008

EID of the result in the Scopus database

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