Asymptotic formula for an eigenvalue of the dirichlet problem in a cranked waveguide
โ Scribed by S. A. Nazarov
- Book ID
- 111502675
- Publisher
- Allerton Press, Inc.
- Year
- 2011
- Tongue
- English
- Weight
- 207 KB
- Volume
- 44
- Category
- Article
- ISSN
- 1063-4541
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract It is shown that there exist domains ฮฉ โ โ^__N__^, which outside of some ball coincide with the strip โ^__N__ โ 1^ ร (0, ฯ) and for which the Dirichlet Laplacian โ ฮ has eigenvalues within the subinterval (1, 4) of the essential spectrum (1, โ).
An asymptotic formula for the mean square of the remainder term 2 a (x) is obtained for &10. It is an interesting problem to obtain an asymptotic formula for the mean square of 2 a (x). It is known by Meurman [4] that for &1ร2<a<0. This is an improvement on Kiuchi's former result [2], which gives th