Geodesic
Application of $A$-analytic functions to the investigation of the Cauchy problem for a stationary poroelasticity system
Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 65 (2019) no. 1, pp. 33-43

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In a reversible hydrodynamic approximation, a closed system of second-order dynamic equations with respect to the displacement vector of an elastic porous body and pore pressure has been obtained. The Cauchy problem for the obtained system of poroelasticity equations in the stationary case is considered. The Carleman formula for the Cauchy problem under consideration has been constructed. 
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     author = {Kh. Kh. Imomnazarov and N. M. Jabborov},
     title = {Application of $A$-analytic functions to the investigation of the {Cauchy} problem for a stationary poroelasticity system},
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Kh. Kh. Imomnazarov; N. M. Jabborov. Application of $A$-analytic functions to the investigation of the Cauchy problem for a stationary poroelasticity system. Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 65 (2019) no. 1, pp. 33-43. http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a3/