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Gap in the essential spectrum of the Neumann problem for an elliptic system in a periodic domain

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Abstract

We establish the existence of a gap in the essential spectrum of the Neumann problem for an elliptic formally self-adjoint system of second-order differential equations on a quasi-cylinder (a domain with periodically varying cross-section).

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Authors and Affiliations

  1. Institute of Mechanical Engineering Problems, Russian Academy of Sciences, St. Petersburg, Russia

    S. A. Nazarov

Authors
  1. S. A. Nazarov
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Correspondence to S. A. Nazarov.

Additional information

Dedicated to the memory of S. G. Mikhlin

__________

Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 43, No. 3, pp. 92–95, 2009

Original Russian Text Copyright © by S. A. Nazarov

Supported by the Netherlands Organization for Scientific Research and the Russian Foundation for Basic research under joint project no. 047.017.020.

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Nazarov, S.A. Gap in the essential spectrum of the Neumann problem for an elliptic system in a periodic domain. Funct Anal Its Appl 43, 239–241 (2009). https://doi.org/10.1007/s10688-009-0031-0

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  • DOI: https://doi.org/10.1007/s10688-009-0031-0

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