Maz’ya, Vladimir; Solov’ev, Alexander On the boundary integral equation of the Neumann problem in a domain with peak. (English. Russian original) Zbl 0796.45003 Transl., Ser. 2, Am. Math. Soc. 155, 101-127 (1993); translation from Tr. Leningr. Mat. Obshchestva 1, 109-134 (1991). See the review in Zbl 0754.45006. Cited in 1 Document MSC: 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) 45M05 Asymptotics of solutions to integral equations 35C15 Integral representations of solutions to PDEs 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 65N38 Boundary element methods for boundary value problems involving PDEs Keywords:boundary integral equation; Neumann problem; Laplace operator; flat domain with peaks; one-valued solvability; asymptotic behavior Citations:Zbl 0754.45006 PDFBibTeX XMLCite \textit{V. Maz'ya} and \textit{A. Solov'ev}, Transl., Ser. 2, Am. Math. Soc. 155, 101--127 (1993; Zbl 0796.45003); translation from Tr. Leningr. Mat. Obshchestva 1, 109--134 (1991) Full Text: DOI