The Maxwell operator with periodic coefficients in a cylinder

  title={The Maxwell operator with periodic coefficients in a cylinder},
  author={Nikolai Filonov and Andrei Prokhorov},
  journal={St. Petersburg Mathematical Journal},
In the paper we consider the Maxwell operator in a three-dimensional cylinder with coefficients periodic along the axis of a cylinder. It is proved that for cylinders with circular and rectangular cross-section the spectrum of the Maxwell operator is absolutely continuous. 
3 Citations

The absence of eigenvalues for certain operators with partially periodic coefficients

  • N. Filonov
  • Computer Science
    St. Petersburg Mathematical Journal
  • 2022
The Schrödinger operator in the Euclidean space whose potential is periodic in some variables and decays in the remaining variables faster than power is proved.



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English translation in: Funct

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  • 2013

The selfadjoint Maxwell operator in arbitrary domains, Algebra i Analiz

  • (Russian). English translation in: Leningr. Math. J. 1,
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