Geodesic
The Cauchy problem for equation of elasticity theory
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 2, pp. 162-175

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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, regularization.
Mots-clés : Carleman matrix 
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Olimdjan I. Makhmudov; Ikbol E. Niyozov. The Cauchy problem for equation of elasticity theory. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 2, pp. 162-175. http://geodesic.mathdoc.fr/item/JSFU_2023_16_2_a1/