Geodesic
The Cauchy problem of the moment elasticity theory in~$\mathbf R^m$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2014), pp. 30-37

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In this paper we consider the problem of analytical continuation of the solution to the system of equations of the moment theory of elasticity in spatial many-dimensional domain. We give an explicit formula of restoring of solution inside the domain by values of sought-for solution and values of strains on part of the boundary of this domain.
Keywords: Cauchy problem, Carleman function, system of elacticity theory.
Mots-clés : Carleman matrix 
@article{IVM_2014_2_a3,
     author = {I. E. Niyozov and O. I. Makhmudov},
     title = {The {Cauchy} problem of the moment elasticity theory in~$\mathbf R^m$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {30--37},
     publisher = {mathdoc},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_2_a3/}
}
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I. E. Niyozov; O. I. Makhmudov. The Cauchy problem of the moment elasticity theory in~$\mathbf R^m$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2014), pp. 30-37. http://geodesic.mathdoc.fr/item/IVM_2014_2_a3/