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Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 2, Pages 162–175 (Mi jsfu1066)  
The Cauchy problem for equation of elasticity theory

Olimdjan I. Makhmudov, Ikbol E. Niyozov

Samarkand State University, Samarkand, Uzbekistan
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Abstract: A problem on the analytic continuation of the solution of equation of elasticity theory in a spatial domain is considered. Continuation is based on the values of the solution and stresses on a part of the boundary of this domain. Hence the problem presents the Cauchy problem.
Keywords: Cauchy problem,Lame equation, elliptic system,ill-posed problem, Carleman matrix, regularization.
Received: 10.07.2022
Received in revised form: 15.09.2022
Accepted: 20.10.2022
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: English
Citation: Olimdjan I. Makhmudov, Ikbol E. Niyozov, “The Cauchy problem for equation of elasticity theory”, J. Sib. Fed. Univ. Math. Phys., 16:2 (2023), 162–175
Citation in format AMSBIB
\Bibitem{MakNie23}
\by Olimdjan~I.~Makhmudov, Ikbol~E.~Niyozov
\paper The Cauchy problem for equation of elasticity theory
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2023
\vol 16
\issue 2
\pages 162--175
\mathnet{http://mi.mathnet.ru/jsfu1066}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4576461}
\edn{https://elibrary.ru/CUVVNL}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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