Application of A-Analytic Functions to the Investigation of the Cauchy Problem for a Stationary Poroelasticity System.

In a reversible hydrodynamic approximation, a closed system of second order dynamic equation 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. [ABSTRACT FROM AUTHOR]