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Asymptotics of eigenfrequencies in the spectral gaps caused by a perturbation of a periodic waveguide

✍ Scribed by S. A. Nazarov


Book ID
118725275
Publisher
SP MAIK Nauka/Interperiodica
Year
2012
Tongue
English
Weight
242 KB
Volume
86
Category
Article
ISSN
1064-5624

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## Abstract We consider a non‐compact Riemannian periodic manifold such that the corresponding Laplacian has a spectral gap. By continuously perturbing the periodic metric locally we can prove the existence of eigenvalues in a gap. A lower bound on the number of eigenvalue branches crossing a fixed