Steklov Problems in Perforated Domains with a Coefficient of Indefinite Sign
Permanent link
http://www.nb.no/idtjeneste/URN:NBN:no-bibsys_brage_37965https://hdl.handle.net/11250/145283
https://hdl.handle.net/10037/8396
Date
2012Type
Journal articlePeer reviewed
Tidsskriftartikkel
Description
We consider homogenization of Steklov spectral problem for a divergence
form elliptic operator in periodically perforated domain under the
assumption that the spectral weight function changes sign. We show that the
limit behaviour of the spectrum depends essentially on wether the average of
the weight function over the boundary of holes is positive, or negative or equal
to zero. In all these cases we construct the asymptotics of the eigenpairs.
Publisher
American Institute of Mathematical SciencesMetadata
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