Asymptotics for eigenelements of Laplacian in domain with oscillating boundary: multiple eigenvalues
β Scribed by Amirat, Youcef; Chechkin, Gregory A.; Gadyl'shin, Rustem R.
- Book ID
- 121375567
- Publisher
- Taylor and Francis Group
- Year
- 2007
- Tongue
- English
- Weight
- 315 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0003-6811
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We study the asymptotic behavior of the eigenelements of the Dirichlet problem for the Laplacian in a twoβdimensional bounded domain with thin shoots, depending on a small parameter Ξ΅. Under the assumption that the width of the shoots goes to zero, as Ξ΅ tends to zero, we construct the l
## Abstract For certain unbounded domains the Laplace operator with Dirichlet condition is shown to have an unbounded sequence of eigenvalues which are embedded into the essential spectrum. A typical example of such a domain is a locally perturbed cylinder with circular crossβsection whose diameter