On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains
From MaRDI portal
Publication:6040628
DOI10.1007/s00211-023-01353-zzbMath1516.31013arXiv2301.12208OpenAlexW4367839829MaRDI QIDQ6040628
Raffael Hagger, Jani A. Virtanen, Karl-Mikael Perfekt, Simon N. Chandler-Wilde
Publication date: 19 May 2023
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.12208
General topics in linear spectral theory for PDEs (35P05) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Surface plasmon resonance of nanoparticles and applications in imaging
- Solvability of a boundary integral equation on a polyhedron
- Single and double layer potentials on domains with conical points. I: Straight cones
- Spectral properties of the layer potentials on Lipschitz domains
- Quadratic estimates and functional calculi of perturbed Dirac operators
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
- Potential techniques for boundary value problems on \(C^1\)-domains
- Spectral radius properties for layer potentials associated with the elastostatics and hydrostatics equations in nonsmooth domains
- On singular integrals of Calderón-type in \(\mathbb{R}^ n\), and BMO
- The method of layer potentials for non-smooth domains with arbitrary topology
- Invertibility properties of singular integral operators associated with the Lamé and Stokes systems on infinite sectors in two dimensions
- The transmission problem on a three-dimensional wedge
- The spectra of harmonic layer potential operators on domains with rotationally symmetric conical points
- On the spectra of elastostatic and hydrostatic layer potentials on curvilinear polygons.
- Limit operators and their applications in operator theory
- Integral equations. Theory and numerical treatment
- On the polarizability and capacitance of the cube
- Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains
- Universal algorithms for computing spectra of periodic operators
- Classification of spectra of the Neumann-Poincaré operator on planar domains with corners by resonance
- Poincaré's variational problem in potential theory
- Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains
- The Exponentially Convergent Trapezoidal Rule
- ON THE INDEX AND SPECTRUM OF INTEGRAL OPERATORS OF POTENTIAL TYPE ALONG RADON CURVES
- Invariance of the Fredholm radius of the Neumann operator
- The double layer potential operator over polyhedral domains i: solvability in weighted sobolev spaces
- The Invertibility of the Double Layer Potential Operator in the Space of Continuous Functions Defined on a Polyhedron: The Panel Method
- Convergence Rates for Approximate Eigenvalues of Compact Integral Operators
- Cauchy integrals on Lipschitz curves and related operators
- Numerical Determination of the Field of Values of a General Complex Matrix
- The third boundary value problem in potential theory for domains with a piecewise smooth boundary
- The Laplace Equation
- The invetibility of the double layer potential operator in the space of continuous functions defined over a polyhedron. the panel method. erratum
- Asymptotic approximations for the plasmon resonances of nearly touching spheres
- Galerkin's method for boundary integral equations on polygonal domains
- The Fredholm radius of an operator in potential theory. [Continuation]
- Linear integral equations
- The quasi-static plasmonic problem for polyhedra
This page was built for publication: On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains
