Estimate of the spectrum deviation of the singularly perturbed Steklov problem
- Autores: Chechkina A.1
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Afiliações:
- Mechanics and Mathematics Faculty
- Edição: Volume 96, Nº 2 (2017)
- Páginas: 510-513
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225405
- DOI: https://doi.org/10.1134/S1064562417050301
- ID: 225405
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Resumo
A Steklov-type problem with rapidly alternating Dirichlet and Steklov boundary conditions in a bounded n-dimensional domain in considered. The regions on which the Steklov condition is given have diameter of order ε, and the distance between them is larger than or equal to 2ε. It is proved that, as the small parameter tends to zero, the eigenvalues of this problem degenerate, i.e., tend to infinity. It is also proved that the rate of increase to infinity is larger than or equal to |ln ε|δ, δ ∈ (0;2 − 2/n) as ε, tends to zero.
Sobre autores
A. Chechkina
Mechanics and Mathematics Faculty
Autor responsável pela correspondência
Email: chechkina@gmail.com
Rússia, Moscow, 119991