期刊
COMPTES RENDUS MATHEMATIQUE
卷 349, 期 1-2, 页码 53-56出版社
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crma.2010.11.029
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资金
- RFBR [09-01-00530]
- Federal Task Program
- educational professional community of innovation Russia [02.740.11.0612]
- FCT [prdc/mat/101007/2008]
- Attivita di Internazionalizzazione dell'Universita del Sannio
- [MD-453.2010.1]
- [NSh-6249.2010.1]
We consider a waveguide modeled by the Laplacian in a straight planar strip with the Dirichlet condition on the upper boundary, while on the lower one we impose periodically alternating boundary conditions with a small period. We study the case when the homogenization leads us to the Neumann boundary condition on the lower boundary. We establish the uniform resolvent convergence and provide the estimates for the rate of convergence. We construct the two-terms asymptotics for the first band functions of the perturbed operator and also the complete two-parametric asymptotic expansion for the bottom of its spectrum. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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