An Inverse Spectral Problem W.R.T. Domain
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...
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Datum: | 2008 |
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| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106512 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862728583711031296 |
|---|---|
| author | Gasimov, Y.S. |
| author_facet | Gasimov, Y.S. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | 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.
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| first_indexed | 2025-12-07T19:10:05Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106512 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T19:10:05Z |
| publishDate | 2008 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Gasimov, Y.S. 2016-09-29T19:05:10Z 2016-09-29T19:05:10Z 2008 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. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106512 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. 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии An Inverse Spectral Problem W.R.T. Domain Article published earlier |
| spellingShingle | An Inverse Spectral Problem W.R.T. Domain Gasimov, Y.S. |
| title | An Inverse Spectral Problem W.R.T. Domain |
| title_full | An Inverse Spectral Problem W.R.T. Domain |
| title_fullStr | An Inverse Spectral Problem W.R.T. Domain |
| title_full_unstemmed | An Inverse Spectral Problem W.R.T. Domain |
| title_short | An Inverse Spectral Problem W.R.T. Domain |
| title_sort | inverse spectral problem w.r.t. domain |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106512 |
| work_keys_str_mv | AT gasimovys aninversespectralproblemwrtdomain AT gasimovys inversespectralproblemwrtdomain |