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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 10, Pages 1648–1659
DOI: https://doi.org/10.31857/S0044466923100083 (Mi zvmmf11633) 		 
Partial Differential Equations

Existence of a solution to Lamb’s initial-boundary value problem with a limiting value of Poisson’s ratio

A. V. Kravtsov

Faculty of Physics, Lomonosov Moscow State University, 119991, Moscow, Russia
DOI: https://doi.org/10.31857/S0044466923100083
Abstract: 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.
Key words: elastic medium, Lamé equations, Poisson’s ratio, Fourier–Bessel integral, Mellin integral, estimates of integrals.
Received: 14.04.2023
Revised: 14.04.2023
Accepted: 26.06.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 10, Pages 1848–1859
DOI: https://doi.org/10.1134/S0965542523100068
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. V. Kravtsov, “Existence of a solution to Lamb’s initial-boundary value problem with a limiting value of Poisson’s ratio”, Zh. Vychisl. Mat. Mat. Fiz., 63:10 (2023), 1648–1659; Comput. Math. Math. Phys., 63:10 (2023), 1848–1859
Citation in format AMSBIB
\Bibitem{Kra23}
\by A.~V.~Kravtsov
\paper Existence of a solution to Lamb’s initial-boundary value problem with a limiting value of Poisson’s ratio
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 10
\pages 1648--1659
\mathnet{http://mi.mathnet.ru/zvmmf11633}
\crossref{https://doi.org/10.31857/S0044466923100083}
\elib{https://elibrary.ru/item.asp?id=54648790}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 10
\pages 1848--1859
\crossref{https://doi.org/10.1134/S0965542523100068}
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