On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation

Abstract

Inverse problems on restoration of coefficients to the differential equations with partial derivatives are of interest in many applied researches. These problems lead to necessity of the approached decision of inverse problems for the equations of mathematical physics which are incorrect in classical sense. In the article the existence, uniqueness and stability of the solution of the given inversion problem for the elliptic equation are proved.

Keywords

• inverse problem
• elliptic equation
• successive approximations method
• existence and uniqueness of solutions