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.

Original languageEnglish
Pages (from-to)545-572
JournalSt. Petersburg Mathematical Journal
Volume30
Issue number3
DOIs
StatePublished - 1 Jan 2019

    Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

    Research areas

  • Absolute continuity of the spectrum, Maxwell operator in a cylinder, Spectral gap

ID: 50940712