Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
An Inverse Spectral Problem W.R.T. Domain
Репозиторій DSpace/Manakin
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An Inverse Spectral Problem W.R.T. Domain
Посилання:
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.
Підтримка:
The paper was finished during the time Yu.S. Gasimov visited Universite de Nantes as an invited professor. The author wishes to thank Prof. A. Nachaoui from Nantes University for discussing the paper and making useful remarks as well as the administration of University for invitation and Laboratoire de Mathematiques Jean Leray for kind and warm hospitality.
Дата:
2008
Переглядів:
758
Завантажень:
398
Анотація:
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.
