Titlebook: Boundary Integral Equations on Contours with Peaks; Vladimir G. Maz’ya,Alexander A. Soloviev,Tatyana S Book 2010 Birkhäuser Basel 2010 Dir

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https://doi.org/10.1007/978-3-0346-0171-9Dirichlet problem; Integral equation; Neumann problem; boundary integral equation; elasticity theory

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Birkhäuser Basel 2010

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Boundary Integral Equations on Contours with Peaks978-3-0346-0171-9Series ISSN 0255-0156 Series E-ISSN 2296-4878

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https://doi.org/10.1007/BFb0119075lem . and the Neumann problem . in a plane bounded simply connected domain Ω. with a peak at the boundary Γ. Here and elsewhere we assume the normal . to be outward. Another assumption is that the vertex of the peak is placed at the origin.

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,Boundary Integral Equations in Hölder Spaces on a Contour with Peak,lem . and the Neumann problem . in a plane bounded simply connected domain Ω. with a peak at the boundary Γ. Here and elsewhere we assume the normal . to be outward. Another assumption is that the vertex of the peak is placed at the origin.

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Asymptotic Formulae for Solutions of Boundary Integral Equations Near Peaks,form of double layer potentials . and single layer potentials . For the internal Dirichlet problem and for the external Neumann problem the densities of the corresponding potentials can be found from the boundary integral equations . where . is the value of the potential . at a boundary point, and .