DOI

The Maxwell operator in a 3-dimensional cylinder with Lipschitz crosssection is considered. The coefficients are assumed to be independent of the longitudinal variable. The spectrum of the operator is shown to be absolutely continuous. If the cross-section of the cylinder is multiply connected, then the spectrum fills the real axes. If the cross-section is simply connected, then the spectrum has one gap centered at the origin.

Язык оригиналаанглийский
Страницы (с-по)545-572
ЖурналSt. Petersburg Mathematical Journal
Том30
Номер выпуска3
DOI
СостояниеОпубликовано - 1 янв 2019

    Предметные области Scopus

  • Анализ
  • Алгебра и теория чисел
  • Прикладная математика

ID: 50940712