A spectral property of the electrostatic integral operator

DOI10.1006/jmaa.1999.6538zbMath0939.45001OpenAlexW1989674136MaRDI QIDQ1125311

Erich Martensen

Publication date: 5 July 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6538

zbMATH Keywords

spherical harmonicseigenfunctionseigenvalue problemsellipsoidal harmonicselectrostatic integral operators

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Eigenvalue problems for integral equations (45C05) Electro- and magnetostatics (78A30)

Related Items (9)

Spectral Structure of the Neumann--Poincaré Operator on Thin Ellipsoids and Flat Domains ⋮ Weyl's law for the eigenvalues of the Neumann-Poincaré operators in three dimensions: Willmore energy and surface geometry ⋮ A short note on decay rates of odd partitions: an application of spectral asymptotics of the Neumann-Poincaré operators ⋮ Eigenvalues and eigenfunctions of double layer potentials ⋮ The first Hadamard variation of Neumann–Poincaré eigenvalues on the sphere ⋮ Eigenvalues of the Neumann–Poincaré operator in dimension 3: Weyl’s law and geometry ⋮ A concavity condition for existence of a negative value in Neumann-Poincaré spectrum in three dimensions ⋮ Spectral structure of the Neumann-Poincaré operator on tori ⋮ Spectral geometry and analysis of the Neumann-Poincaré operator, a review

Cites Work

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• On the eigenvalues of the electrostatic integral operator
• On the eigenvalues of the electrostatic integral operator. II
• New spectral results for the electrostatic integral operator
• Attacking a conjecture in mathematical physics by combining methods of computational analysis and scientific computing
• A sum-property of the eigenvalues of the electrostatic integral operator

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