An Inverse Spectral Problem W.R.T. Domain

Abstract

In the paper, the inverse problem with respect to (w.r.t.) domain for two-dimensional Schrodinger operator and operator L = Δ² is considered. The definition of s-functions is introduced. The method of determination of the domain by a given set of functions is proposed. The main idea of the paper is to use a one-to-one correspondence between the convex bounded domains and their support functions and express the variation of the domain by the variation of corresponding support function.