Existence of a Solution to Lamb’s Initial-Boundary Value Problem with a Limiting Value of Poisson’s Ratio

Computational Mathematics and Mathematical Physics(2023)

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摘要
The paper considers a Lamb’s initial-boundary value problem for an elastic half-space in the case when Poisson’s ratio takes the limiting value of 1/2. The existence of a classical solution in the form of an iterated improper integral in the case of axial symmetry is proved.
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关键词
elastic medium,Lamé equations,Poisson’s ratio,Fourier–Bessel integral,Mellin integral,estimates of integrals
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