The Buckling Operator: Inverse Boundary Value Problem

Yanjun Ma ()
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Yanjun Ma: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China

Mathematics, 2023, vol. 11, issue 2, 1-11

Abstract: In this paper, we consider a zeroth-order perturbation q ( x ) of the buckling operator Δ 2 − κ Δ , 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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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