Spectral properties of a thin layer with a doubly periodic family of thinning regions

S.A. Nazarov

Результат исследований: Научные публикации в периодических изданияхстатья

7 Цитирования (Scopus)


We show that the spectrum of the Dirichlet problem for the Laplace operator in a layer with a doubly periodic structure has gaps and determine several characteristics of their location. The result is obtained by asymptotic analysis of a model spectral problem on the periodicity cell. © 2013 Pleiades Publishing, Ltd.
Язык оригиналаанглийский
Страницы (с-по)343-359
ЖурналTheoretical and Mathematical Physics
Номер выпуска3
СостояниеОпубликовано - 2013