Steklov Problems in Perforated Domains with a Coefficient of Indefinite Sign
Permanent lenke
http://www.nb.no/idtjeneste/URN:NBN:no-bibsys_brage_37965https://hdl.handle.net/11250/145283
https://hdl.handle.net/10037/8396
Dato
2012Type
Journal articleTidsskriftartikkel
Peer reviewed
Beskrivelse
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.
Forlag
American Institute of Mathematical SciencesMetadata
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