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| Título | Waves in a thin and periodically oscillating medium |
| Publication Type | Unpublished |
| Year of Publication | 2008 |
| Authors | Ferreira R, Mascarenhas LM |
| Series Title | Preprint |
| Abstract | We study the asymptotic behavior of the spectrum of an elliptic operator with periodically oscillating coefficients, in a thin domain, with vanishing Dirichlet conditions. Two cases are treated: the case where the periodicity of the oscillations has the same order of thickness as the domain and the case where the oscillations have a frequency much greater than the thickness of the domain. A physical motivation can be to understand the behavior of the probability density associated to the wave function of a particle confined to a very thin domain, with periodically varying characteristics. |
| URL | http://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2008/2_08.pdf |