Bahçeşehir Üniversitesi Analiz ve Uygulamalı Matematik Seminerleri
On one inverse spectral domain identification problem
Yusif Gasimov
Azerbaijan University, Baku, Azerbaijan, Azerbaycan
In this talk an inverse spectral problem is considered with respect to the domain for the Schrödinger equation. Using the introduced space of the pairs of the convex domains a new definition of the domain variation is given. The first variation of the eigenvalues with respect to domain is calculated, a new formula for the eigenvalues of the Schrödinger operator is proved. A definition of s-function is introduced and a scheme is proposed to reconstruct the domain by the given set of the s-functions. Some particular cases are also considered.
