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A time-dependent strange term arising in homogenization of an elliptic problem with rapidly alternating Neumann and dynamic boundary conditions specified at the domain boundary: The critical case

Abstract:

A strange term arising in the homogenization of elliptic (and parabolic) equations with dynamic boundary conditions given on some boundary parts of critical size is considered. A problem with dynamic boundary conditions given on the union of some boundary subsets of critical size arranged ε-periodically along the boundary and with homogeneous Neumann conditions given on the rest of the boundary is studied. It is proved that the homogenized boundary condition is a Robin-type containing a nonlo...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1134/S106456242002009X

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0001-8360-3250
Publisher:
Springer
Journal:
Doklady Mathematics More from this journal
Volume:
101
Issue:
2
Pages:
96-101
Publication date:
2020-07-18
Acceptance date:
2019-12-11
DOI:
EISSN:
1531-8362
ISSN:
1064-5624
Language:
English
Keywords:
Pubs id:
1137787
Local pid:
pubs:1137787
Deposit date:
2020-11-22

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