Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 435, Issue 2, Pages 1652-1671Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2015.11.014
Keywords
Steklov spectral problem; Homogenization
Categories
Funding
- Mathematisches Forschungsinstitut Oberwolfach, grant Research in Pairs [R1401]
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In a bounded domain with a thin periodically punctured interface we study the limit behavior of the bottom of spectrum for a Steklov type spectral problem, the Steklov boundary condition being imposed on the perforation surface. For a certain range of parameters we construct the effective spectral problem and justify the convergence of eigenpairs. (C) 2015 Elsevier Inc. All rights reserved.
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