Asymptotic behaviour of the solutions of boundary value problems of potential theory and the theory of elasticity in the vicinity of conical points on the boundary

DOI10.1016/0021-8928(91)90118-EzbMath0787.73012OpenAlexW1979597885MaRDI QIDQ1314065

P. I. Perlin

Publication date: 7 March 1994

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(91)90118-e

zbMATH Keywords

one-dimensional integral equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Classical linear elasticity (74B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items

An application of diverging integrals in problems of potential theory and the theory of elasticity

Cites Work

• Application of the regular representation of singular integrals to the solution of the second fundamental problem of the theory of elasticity
• Three-dimensional harmonic functions near termination of intersection of gradient singularity lines: a general numerical method
• The pressure on an elastic half-space of a stamp with a wedge-shaped planform
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