An Inverse Spectral Problem W.R.T. Domain

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2008
• ISSN: 1812-9471
• Main Author: Gasimov, Y.S.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106512
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: An Inverse Spectral Problem W.R.T. Domain / Y.S. Gasimov // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 3. — С. 358-370. — Бібліогр.: 12 назв. — англ.

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...