, Volume 43, Issue 3, pp 239-241
Date: 16 Sep 2009

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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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 43, No. 3, pp. 92–95, 2009
Original Russian Text Copyright © by S. A. Nazarov
Dedicated to the memory of S. G. Mikhlin
Supported by the Netherlands Organization for Scientific Research and the Russian Foundation for Basic research under joint project no. 047.017.020.