ABSENCE OF GAPS IN A LOWER PART OF THE SPECTRUM OF A LAPLACIAN WITH FREQUENT ALTERNATION OF BOUNDARY CONDITIONS IN A STRIP

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F18%3A50014839" target="_blank" >RIV/62690094:18470/18:50014839 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1134/S0040577918050057" target="_blank" >http://dx.doi.org/10.1134/S0040577918050057</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1134/S0040577918050057" target="_blank" >10.1134/S0040577918050057</a>

Result language

angličtina

Original language name

ABSENCE OF GAPS IN A LOWER PART OF THE SPECTRUM OF A LAPLACIAN WITH FREQUENT ALTERNATION OF BOUNDARY CONDITIONS IN A STRIP

Original language description

We consider the Laplacian in a planar infinite straight strip with frequent alternation of boundary conditions. We show that for a sufficiently small alternation period, there are no gaps in a lower part of the spectrum. In terms of certain numbers and functions, we write an explicit upper bound for the period and an expression for the length of the lower part of the spectrum in which the absence of gaps is guaranteed.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

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

Name of the periodical

THEORETICAL AND MATHEMATICAL PHYSICS

ISSN

0040-5779

e-ISSN

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Volume of the periodical

195

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

14

Pages from-to

690-703

UT code for WoS article

000434491300005

EID of the result in the Scopus database

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