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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)

 

 

On spectrum gaps of some divergent elliptic operators with periodic coefficients


Author: V. V. Zhikov
Translated by: B. M. Bekker
Original publication: Algebra i Analiz, tom 16 (2004), nomer 5.
Journal: St. Petersburg Math. J. 16 (2005), 773-790
MSC (2000): Primary 35P15
DOI: https://doi.org/10.1090/S1061-0022-05-00878-2
Published electronically: September 21, 2005
MathSciNet review: 2106666
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Additional Information

V. V. Zhikov
Affiliation: Vladimir State Pedagogical University, Prospekt Stroitelei 11, Vladimir 600024, Russia
Email: zhikov@vgpu.vladimir.ru

DOI: https://doi.org/10.1090/S1061-0022-05-00878-2
Keywords: Photonic crystal, periodic Maxwell operator, spectral gap
Received by editor(s): January 14, 2004
Published electronically: September 21, 2005
Additional Notes: This work was supported by RFBR (grant no. 02–01–00114), and by the Ministry of Education (Fundamental Research grant no. 02–1.0–57).
Dedicated: Dedicated to Mikhail Shlyomovich Birman on the occasion of his anniversary
Article copyright: © Copyright 2005 American Mathematical Society