𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic behavior of spectral gaps in a regularly perturbed periodic waveguide

✍ Scribed by S. A. Nazarov

Book ID
120896707
Publisher
Allerton Press, Inc.
Year
2013
Tongue
English
Weight
233 KB
Volume
46
Category
Article
ISSN
1063-4541

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Eigenvalues in spectral gaps of a pertur
Eigenvalues in spectral gaps of a perturbed periodic manifold
✍ Olaf Post πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 325 KB

## 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