Eigenvalues and eigenfunctions of double layer potentials
From MaRDI portal
Publication:5369020
DOI10.1090/tran/6913zbMath1460.47022arXiv1501.03627OpenAlexW2963034707MaRDI QIDQ5369020
Takashi Suzuki, Yoshihisa Miyanishi
Publication date: 11 October 2017
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.03627
Connections of harmonic functions with differential equations in higher dimensions (31B35) Eigenvalue problems for integral equations (45C05) Potential operators (47G40)
Related Items (16)
Exponential decay estimates of the eigenvalues for the Neumann-Poincaré operator on analytic boundaries in two dimensions ⋮ Dyson gas on a curved contour ⋮ Weyl's law for the eigenvalues of the Neumann-Poincaré operators in three dimensions: Willmore energy and surface geometry ⋮ On the origin of Minnaert resonances ⋮ Spectral analysis of the Neumann-Poincaré operator on the crescent-shaped domain and touching disks and analysis of plasmon resonance ⋮ Schatten-von Neumann classes of integral operators ⋮ The first Hadamard variation of Neumann–Poincaré eigenvalues on the sphere ⋮ The essential spectrum of the Neumann-Poincaré operator on a domain with corners ⋮ On the electro-sensing of weakly electric fish ⋮ Numerical determination of anomalies in multifrequency electrical impedance tomography ⋮ A decay estimate for the eigenvalues of the Neumann-Poincaré operator using the Grunsky coefficients ⋮ Eigenvalues of the Neumann–Poincaré operator in dimension 3: Weyl’s law and geometry ⋮ Spectral properties of classical integral operators and geometry ⋮ Convergence rate for eigenvalues of the elastic Neumann-Poincaré operator in two dimensions ⋮ Spectral structure of the Neumann-Poincaré operator on tori ⋮ Series Expansions of the Layer Potential Operators Using the Faber Polynomials and Their Applications to the Transmission Problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the spectrum of the Poincaré variational problem for two close-to-touching inclusions in 2D
- Eigenvalues of integral operators defined by smooth positive definite kernels
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- Counting nodal lines which touch the boundary of an analytic domain
- On the eigenvalues of the electrostatic integral operator
- Nodal sets of eigenfunctions on Riemannian manifolds
- A spectral property of the electrostatic integral operator
- The analytic continuation of solutions to elliptic boundary value problems in two independent variables
- On the regularity of the principal value of the double-layer potential
- On the eigenvalues of the electrostatic integral operator. II
- New spectral results for the electrostatic integral operator
- Radial symmetry for elliptic boundary-value problems on exterior domains
- Eigenvalue distribution of compact operators
- A sum-property of the eigenvalues of the electrostatic integral operator
- Schatten classes on compact manifolds: kernel conditions
- Poincaré's variational problem in potential theory
- Fredholm eigenvalues and quasiconformal mapping
- \(c_ p\)
- Continuity of curve functionals and a technique involving quasiconformal mappings
- A symmetry problem in potential theory
- Remarks on the Neumann-Poincaré integral equation
- Shape-explicit constants for some boundary integral operators
- Fredholm Eigenvalues of Jordan Curves: Geometric, Variational and Computational Aspects
- Strengthened Grunsky and Milin Inequalities
- An Analysis of a FETI–DP Algorithm on Irregular Subdomains in the Plane
- Weyl's Inequality in Banach Spaces
- Some spectral properties of an integral operator in potential theory
- A Characterization of the Sphere in Terms of Single-Layer Potentials
- Properties of the Generalized Polarization Tensors
- Symmetry problem
- A symmetry problem
- Eigenfunctions and Nodal Sets
- Neumann's Lemma
- Singularities of solutions to linear, second order analytic elliptic equations in two independent variables I. The completely regular boundary
- Singularities of solutions to linear, second order, analytic elliptic equations in two independent variables. II
- Reconstruction of Closely Spaced Small Inclusions
- On C. Neumann's method for second-order elliptic systems in domains with non-smooth boundaries
- Symmetry of a boundary integral operator and a characterization of a ball
This page was built for publication: Eigenvalues and eigenfunctions of double layer potentials
