Convergence of Eigenfunctions of a Steklov-Type Problem in a Half-Strip with a Small Hole

被引：0
|
作者：
Davletov D.B. [1 ]
Davletov O.B. [2 ]
机构：
[1] M. Akmulla Bashkir State Pedagogical University, Ufa
[2] Ufa State Petroleum Technological University, Ufa
来源：
Journal of Mathematical Sciences | 2019年 / 241卷 / 5期
关键词：
47A10; 58J37; convergence; eigenvalue; half-strip; singular perturbation; small hole; Steklov problem;
D O I：
10.1007/s10958-019-04444-1
中图分类号：
学科分类号：
摘要：
We consider a Steklov-type problem for the Laplace operator in a half-strip containing a small hole with the Dirichlet conditions on the lateral boundaries and the boundary of the hole and the Steklov spectral condition on the base of the half-strip. We prove that eigenvalues of this problem vanish as the small parameter (the “diameter” of the hole) tends to zero. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.
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收藏
页码：549 / 555
页数：6
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