An inverse problem for an elliptic equation

Abstract

This paper discusses the question of determining an unknown coefficient a(z) in an elliptic partial differential equation arising from the equation of motion in a nonhomogeneous half plane from the Dirichlet-Neumann pair . We discuss the uniqueness of this determination. One of the applications of this study is the determination of depth-dependent inhomogeneity of the earth.

Keywords:

• inverse problem
• depth-dependent inhomogeneity
• elliptic equation

AMS Subject Classifications:

• 35R30

Notes

No potential conflict of interest was reported by the author.