Geodesic
Cauchy Problem for Elliptic Systems in the Space $\mathbb R^m$
Matematičeskie zametki, Tome 75 (2004) no. 6, pp. 849-860

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In this paper, we investigate the analytic continuation of the solution of the system of Lamé equations in a bounded space domain from the values of the solution and the stress values on part of the boundary of this domain, i.e., a Cauchy problem is studied. We construct an approximate solution of this problem based on the Carleman matrix method. system of elliptic differential equations 
@article{MZM_2004_75_6_a4,
     author = {O. I. Makhmudov},
     title = {Cauchy {Problem} for {Elliptic} {Systems} in the {Space} $\mathbb R^m$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {849--860},
     publisher = {mathdoc},
     volume = {75},
     number = {6},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_75_6_a4/}
}
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O. I. Makhmudov. Cauchy Problem for Elliptic Systems in the Space $\mathbb R^m$. Matematičeskie zametki, Tome 75 (2004) no. 6, pp. 849-860. http://geodesic.mathdoc.fr/item/MZM_2004_75_6_a4/