\(L_p\)-theory of boundary integral equations on a contour with outward peak

DOI10.1007/BF01193508zbMath0910.31001OpenAlexW3213477049MaRDI QIDQ1270026

Alexander A. Solov'ev, Vladimir Gilelevich Maz'ya

Publication date: 2 December 1998

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

Full work available at URL: https://doi.org/10.1007/bf01193508

zbMATH Keywords

Dirichlet problemLaplace equationboundary integral equationsdouble layer potentialabsolutely continuous functionscuspidal domainssimply connected bounded domainoutward peakexterior Dirichlet and Neumann problems

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Linear integral equations (45A05)

Related Items

The Dirichlet and Riemann-Hilbert problems in Smirnov classes with variable exponent in doubly connected domains, The Dirichlet problem for harmonic functions from variable exponent Smirnov classes in domains with piecewise smooth boundary, \(L_p\)-boundedness of a boundary integral operator on a contour with a peak

Cites Work

• Unnamed Item
• Boundary integral equations of the logarithmic potential theory for domains with peaks
• Note on Singular Integrals
• Weighted Norm Inequalities for the Hardy Maximal Function