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On the spectra of periodic differential operators

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Photonic Crystals: Mathematical Analysis and Numerical Approximation

Part of the book series: Oberwolfach Seminars ((OWS,volume 42))

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Abstract

The main mathematical tool for treating spectral problems for differential operators with periodic coefficients is the so–called Floquet–Bloch theory.

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Author information

Authors and Affiliations

  1. Institut für Angewandte und Numerische Mathematik 2, Karlsruher Institut für Technologie, 76128, Karlsruhe, Germany

    Willy Dörfler

  2. INRIA Saclay and CMAP Ecole Polytechnique, Route de Saclay, 91128, Palaiseau Cedex, France

    Armin Lechleiter

  3. Institut für Analysis, Karlsruher Institut für Technologie, 76128, Karlsruhe, Germany

    Michael Plum

  4. Fachbereich Mathematik, Universität Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany

    Guido Schneider

  5. Institut für Angewandte und Numerische Mathematik 3, Karlsruher Institut für Technologie, 76128, Karlsruhe, Germany

    Christian Wieners

Authors
  1. Willy Dörfler
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  2. Armin Lechleiter
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  3. Michael Plum
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  4. Guido Schneider
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  5. Christian Wieners
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Corresponding author

Correspondence to Willy Dörfler .

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Dörfler, W., Lechleiter, A., Plum, M., Schneider, G., Wieners, C. (2011). On the spectra of periodic differential operators. In: Photonic Crystals: Mathematical Analysis and Numerical Approximation. Oberwolfach Seminars, vol 42. Springer, Basel. https://doi.org/10.1007/978-3-0348-0113-3_3

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