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ON AN INTEGRAL EQUATION FOR THE DIRICHLET PROBLEM IN A PLANE DOMAIN WITH CUSPS ON THE BOUNDARY - MaRDI portal

ON AN INTEGRAL EQUATION FOR THE DIRICHLET PROBLEM IN A PLANE DOMAIN WITH CUSPS ON THE BOUNDARY

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Publication:3492150

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DOI10.1070/SM1991v068n01ABEH001196zbMath0709.45010MaRDI QIDQ3492150

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

Publication date: 1990

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problem asymptotic solutions solvability Laplace operator domains with cusps

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Asymptotics of solutions to integral equations (45M05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (4)

Singular integral operators with the complex conjugation on curves with cusps ⋮ Optimal estimates and asymptotics for the stress concentration between closely located stiff inclusions ⋮ \(L_p\)-theory of boundary integral equations on a contour with inward peak ⋮ On capacity computation for symmetric polygonal condensers

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