Estimate of the spectrum deviation of the singularly perturbed Steklov problem
- Авторы: Chechkina A.1
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Учреждения:
- Mechanics and Mathematics Faculty
- Выпуск: Том 96, № 2 (2017)
- Страницы: 510-513
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225405
- DOI: https://doi.org/10.1134/S1064562417050301
- ID: 225405
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Аннотация
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.
Об авторах
A. Chechkina
Mechanics and Mathematics Faculty
Автор, ответственный за переписку.
Email: chechkina@gmail.com
Россия, Moscow, 119991