MAGNETIC NEUMANN LAPLACIAN ON A DOMAIN WITH A HOLE

被引：1

作者：

Barseghyan, Diana ^{[1
,2
]}

Schneider, Baruch ^{[1
]}

Bernstein, Swanhild ^{[3
]}

机构：

[1] Univ Ostrava, Dept Math, 30 dubna 22, Ostrava 70103, Czech Republic

[2] Nucl Phys Inst, Dept Theoret Phys, Rez 25068, Czech Republic

[3] TU Bergakad Freiberg, Inst Appl Anal, Akad Str 6, D-09599 Freiberg, Germany

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2023年 / 92卷 / 03期

关键词：

magnetic Neumann Laplacian; spectral convergence; domain with a hole; NORM-RESOLVENT; CONVERGENCE; OPERATOR;

D O I：

10.1016/S0034-4877(23)00079-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article, we study the magnetic Neumann Laplacian on a domain with a small hole. Our attention is focused on the description of holes, which do not change the spectrum drastically. Moreover, we show that the spectrum of the magnetic Neumann Laplacian converges in the sense of the Hausdorff distance to the spectrum of the original operator defined on the unperturbed domain.

引用

页码：259 / 278

页数：20

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