On isoperimetric inequalities for single layer potentials

DOI10.1090/proc/13236zbMath1356.47057OpenAlexW2344401615MaRDI QIDQ2832831

Seyed M. Zoalroshd

Publication date: 14 November 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13236

zbMATH Keywords

isoperimetric inequalitysingle layer potentialPurkiss principle

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Boundary value problems for PDEs with pseudodifferential operators (35S15) Potential operators (47G40)

Related Items (1)

Geometric maximizers of Schatten norms of some convolution type integral operators

Cites Work

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• The asymptotic behavior of the singular values of the convolution operators with kernels whose Fourier transforms are rational functions
• Isoperimetric inequalities for the logarithmic potential operator
• Inverse spectral problem for analytic domains. II: \(\mathbb Z_2\)-symmetric domains
• The logarithmic potential operator
• Do Symmetric Problems Have Symmetric Solutions?
• On the Eigenvalues of Vibrating Membranes^†
• Spectral Properties of Some Integral Operators Arising in Potential Theory
• On a Theorem of Polya
• Linear integral equations
• A note on isoperimetric inequalities for logarithmic potentials

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