The Buckling Operator: Inverse Boundary Value Problem

Abstract

In this paper, we consider a zeroth-order perturbation q(x) of the buckling operator Δ2−κΔ, which can be uniquely determined by measuring the Dirichlet-to-Neumann data on the boundary. We extend the conclusion of the biharmonic operator to the buckling operator, but the Dirichlet-to-Neumann map given in this study is more meaningful and general.

Keywords

• Dirichlet-to-Neumann map
• buckling operator
• uniqueness