当前位置: X-MOL 学术Asymptot. Anal. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On the multiplicity of the second eigenvalue of the Laplacian in non simply connected domains – with some numerics –
Asymptotic Analysis ( IF 1.1 ) Pub Date : 2020-12-02 , DOI: 10.3233/asy-191594
B. Helffer 1, 2 , T. Hoffmann-Ostenhof 3 , F. Jauberteau 1 , C. Léna 4
Affiliation  

We revisit an interesting example proposed by Maria Hoffmann-Ostenhof, the second author and Nikolai Nadirashvili of a bounded domain in R2 for which the second eigenvalue of the Dirichlet Laplacian has multiplicity three. 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.

中文翻译:

关于非单连通域中拉普拉斯算子的第二个特征值的重数——有一些数字——

我们重新审视由 Maria Hoffmann-Ostenhof 提出的一个有趣的例子,该例子的第二作者和 Nikolai Nadirashvili 是 R2 中一个有界域的,其中狄利克雷拉普拉斯算子的第二个特征值具有多重性三。我们还仔细分析了具有两个对称裂纹的圆盘的拉普拉斯算子的第一特征值,该圆盘根据其大小放置在较小的同心圆盘上。
更新日期:2020-12-02
down
wechat
bug