Homogenization of elliptic operators in a strip perforated along a curve

We study the homogenization of a general second order elliptic operator in an infinite planar straight strip perforated by small holes along a curve subject to classical boundary conditions on the holes under rather weak assumptions on the non-periodic perforation. We prove the norm resolvent conver...

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Bibliographic Details
Published inAIP conference proceedings Vol. 2116; no. 1
Main Author Durante, Tiziana
Format Journal Article Conference Proceeding
LanguageEnglish
Published Melville American Institute of Physics 24.07.2019
Subjects
Boundary conditions
Convergence
Homogenization
Norms
Perforation
Strip
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ISSN0094-243X
1551-7616
DOI10.1063/1.5114157

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Summary:We study the homogenization of a general second order elliptic operator in an infinite planar straight strip perforated by small holes along a curve subject to classical boundary conditions on the holes under rather weak assumptions on the non-periodic perforation. We prove the norm resolvent convergence of the perturbed operator to a homogenized one in various operator norms, the estimates for the rate of convergence and the convergence of the spectrum.
Bibliography:ObjectType-Conference Proceeding-1
SourceType-Conference Papers & Proceedings-1
content type line 21
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5114157