Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F16%3A50005418" target="_blank" >RIV/62690094:18470/16:50005418 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1017/S0308210516000019" target="_blank" >http://dx.doi.org/10.1017/S0308210516000019</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/S0308210516000019" target="_blank" >10.1017/S0308210516000019</a>
Alternative languages
Result language
angličtina
Original language name
Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve
Original language description
We consider an infinite planar straight strip perforated by small holes along a curve. In such a domain, we consider a general second-order elliptic operator subject to classical boundary conditions on the holes. Assuming that the perforation is non-periodic and satisfies rather weak assumptions, we describe all possible homogenized problems. Our main result is the norm-resolvent convergence of the perturbed operator to a homogenized one in various operator norms and the estimates for the rate of convergence. On the basis of the norm-resolvent convergence, we prove the convergence of the spectrum.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics
ISSN
0308-2105
e-ISSN
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Volume of the periodical
146
Issue of the periodical within the volume
6
Country of publishing house
GB - UNITED KINGDOM
Number of pages
44
Pages from-to
1115-1158
UT code for WoS article
000388874800001
EID of the result in the Scopus database
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