Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: Strange term

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: Strange term

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: Strange term

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA22-18739S" target="_blank" >GA22-18739S: Asymptotická a spektrální analýza operátorů v matematické fyzice</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Mathematical Methods in the Applied Sciences

ISSN

0170-4214

e-ISSN

1099-1476

Svazek periodika

47

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

43

Strana od-do

4122-4164

Kód UT WoS článku

001110225500001

EID výsledku v databázi Scopus

2-s2.0-85178171945