The invetibility of the double layer potential operator in the space of continuous functions defined over a polyhedron. the panel method. erratum
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Publication:4854508
DOI10.1080/00036819508840313zbMath0921.31004OpenAlexW4248243925MaRDI QIDQ4854508
Publication date: 29 September 1999
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036819508840313
Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)
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On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains ⋮ The quasi-static plasmonic problem for polyhedra ⋮ Solution of the Robin problem for the Laplace equation ⋮ The harmonic dirichlet problem for a cracked domain with jump conditions on cracks ⋮ Solution of the Dirichlet problem for the Laplace equation. ⋮ Continuous Extendibility of Solutions of the Neumann Problem for the Laplace Equation ⋮ Continuous Extendibility of Solutions of the Third Problem for the Laplace Equation ⋮ Boundedness of the solution of the third problem for the Laplace equation ⋮ Solution of the Neumann problem for the Laplace equation ⋮ Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains
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