Single and double layer potentials on domains with conical points. I: Straight cones

DOI10.1007/s00020-012-1947-yzbMath1267.47077OpenAlexW2011158185MaRDI QIDQ434294

Yu Qiao, Victor Nistor

Publication date: 10 July 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11299/181038

zbMATH Keywords

Mellin transformboundary value problemsweighted Sobolev spacepseudodifferential operatorsinvertibilityconvolution operatordouble layer potentialsingle layer potentialstraight cone

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Spectrum, resolvent (47A10) Boundary value problems on manifolds (58J32) Integral equations with kernels of Cauchy type (45E05) Potential theory on Riemannian manifolds and other spaces (31C12) Potential operators (47G40)

Related Items

Double layer potentials on polygons and pseudodifferential operators on Lie groupoids, On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains, Layer potentials \(C^*\)-algebras of domains with conical points, The quasi-static plasmonic problem for polyhedra, The transmission problem on a three-dimensional wedge, Single layer potentials on surfaces with small Lipschitz constants, Double layer potentials on three-dimensional wedges and pseudodifferential operators on Lie groupoids, The spectra of harmonic layer potential operators on domains with rotationally symmetric conical points

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