Research output: Contribution to journal › Article › peer-review
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 language | English |
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Pages (from-to) | 545-572 |
Journal | St. Petersburg Mathematical Journal |
Volume | 30 |
Issue number | 3 |
DOIs | |
State | Published - 1 Jan 2019 |
ID: 50940712