INVERSE PROBLEM FOR A SYSTEM OF POROELASTICITY EQUATIONS

Abstract

The work is devoted to the study of the solvability of the inverse problem with an unknown nonstationary coefficient for the lowest term of the system of poroelasticity equations and the uniqueness of its solution. The problem is considered in a rectangular area. To find the unknown factor, the conditions of a direct initial-boundary value problem and the conditions for redefining the integral are necessary. When proving solvability, the methods of continuation with respect to a parameter, fixed point, truncation and regularization are used.