Functional Analysis and Its Applications

, Volume 43, Issue 3, pp 239–241

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

Brief Communications

DOI: 10.1007/s10688-009-0031-0

Cite this article as:
Nazarov, S.A. Funct Anal Its Appl (2009) 43: 239. doi:10.1007/s10688-009-0031-0

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).

Key words

gap in essential spectrum Neumann problem for elliptic system periodic domain quasi-cylinder 

Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.Institute of Mechanical Engineering ProblemsRussian Academy of SciencesSt. PetersburgRussia

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