A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2013; you can also visit the original URL.
The file type is application/pdf.
Spectral analysis in a thin domain with periodically oscillating characteristics
2011
E S A I M: Control, Optimisation and Calculus of Variations
Preserved Fulltext
and P.N.Lebedev Physical Institute RAS, Leninski prospect 53, Moscow 119991, Russia andrey@sci.lebedev.ru Abstract The paper deals with a Dirichlet spectral problem for an elliptic operator with "-periodic coe cients in a 3D bounded domain of small thickness . We study the asymptotic behavior of the spectrum as " and tend to zero. This asymptotic behaviour depends crucially on whether " and are of the same order, or " is much greater than , or " is much less than . We consider all three cases.
doi:10.1051/cocv/2011100
fatcat:kjb677hfp5fkppjipihuixzo64