On the multiplicity of the second eigenvalue of the Laplacian in non simply connected domains - with some numerics -

被引：0

作者：

Helffer, B. ^{[1
,2
]}

Hoffmann-Ostenhof, T. ^{[3
]}

Jauberteau, F. ^{[1
]}

Lena, C. ^{[4
]}

机构：

[1] Univ Nantes, Lab Mathemat Jean Leray, Nantes, France

[2] Univ Paris Sud, Lab Math Orsay, Paris, France

[3] Univ Wien, Inst Theoret Chem, Vienna, Austria

[4] Univ Stockholm, Dept Math, Stockholm, Sweden

来源：

ASYMPTOTIC ANALYSIS | 2020年 / 121卷 / 01期

基金：

瑞典研究理事会;

关键词：

Spectral theory; Laplacian; multiplicity; EIGENFUNCTIONS;

D O I：

10.3233/ASY-191594

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We revisit an interesting example proposed by Maria Hoffmann-Ostenhof, the second author and Nikolai Nadirashvili of a bounded domain in R-2 for which the second eigenvalue of the Dirichlet Laplacian has multiplicity 3. We also analyze carefully the first eigenvalues of the Laplacian in the case of the disk with two symmetric cracks placed on a smaller concentric disk in function of their size.

引用

页码：35 / 57

页数：23

共 40 条

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