Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: Strange term
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F24%3A50021127" target="_blank" >RIV/62690094:18470/24:50021127 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/mma.9807" target="_blank" >https://doi.org/10.1002/mma.9807</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.9807" target="_blank" >10.1002/mma.9807</a>
Alternative languages
Result language
angličtina
Original language name
Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: Strange term
Original language description
We consider a boundary value problem for a general second-order linear equation in a domain with a fine perforation. The latter is made by small cavities; both the shapes of the cavities and their distribution are arbitrary. The boundaries of the cavities are subject either to a Dirichlet or a nonlinear Robin condition. On the perforation, certain rather weak conditions are imposed to ensure that under the homogenization, we obtain a similar problem in a non-perforated domain with an additional potential in the equation usually called a strange term. Our main results state the convergence of the solution of the perturbed problem to that of the homogenized one in W21$$ {W}_2 circumflex 1 $$- and L2$$ {L}_2 $$-norms uniformly in L2$$ {L}_2 $$-norm of the right hand side in the equation. The estimates for the convergence rates are established, and their order sharpness is discussed.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA22-18739S" target="_blank" >GA22-18739S: Asymptotic and spectral analysis of operators in mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Methods in the Applied Sciences
ISSN
0170-4214
e-ISSN
1099-1476
Volume of the periodical
47
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
43
Pages from-to
4122-4164
UT code for WoS article
001110225500001
EID of the result in the Scopus database
2-s2.0-85178171945