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.

引用

页码：549 / 555

页数：6