\(L_p\)-boundedness of a boundary integral operator on a contour with a peak

DOI10.3103/S1063454108040079zbMath1175.45006OpenAlexW2068654373MaRDI QIDQ735574

Alexander A. Solov'ev

Publication date: 23 October 2009

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454108040079

zbMATH Keywords

boundary integral equationsDirichlet boundary value problemboundary integral operatorLamé operatorelastic double-layer potentialplane elasticity theory

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Integral operators (45P05) Singular nonlinear integral equations (45G05)

Cites Work

• \(L_p\)-theory of boundary integral equations on a contour with inward peak
• \(L_p\)-theory of boundary integral equations on a contour with outward peak
• Note on Singular Integrals
• Lp-theory of a boundary intelgral equation on a cuspidal contour

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