We consider the decay property of the eigenvalues of the NeumannPoincare operator in two dimensions. As is well known, this operator admits only a sequence of eigenvalues that accumulates to zero as its spectrum for a bounded domain having C-1,C-alpha boundary with alpha is an element of (0, 1). We show that the eigenvalues lambda(k) of the Neumann-Poincare operator ordered by size satisfy that vertical bar lambda(k)vertical bar = O(k(-p-alpha+1/2)) for an arbitrary simply connected domain having C-1+p,C-alpha boundary with p >= 0, alpha is an element of (0,1), and p + alpha > 1/2.

- Publisher
- AMER MATHEMATICAL SOC

- Issue Date
- 2020-02

- Language
- English

- Article Type
- Article

- Citation
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.148, no.2, pp.591 - 600

- ISSN
- 0002-9939

- Appears in Collection
- MA-Journal Papers(저널논문)

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