A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation
A one-dimensional SchrÄodinger operator which is a short-range perturbation of a finite-gap operator is considered. There are given the necessary and su±cient conditions on the left/right reflection coeffcient such that the difference of the potentials has finite support to the left/right, respectiv...
Збережено в:
| Дата: | 2010 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106630 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation / I. Egorova, G. Teschl // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 1. — С. 21-33. — Бібліогр.: 24 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106630 |
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dspace |
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irk-123456789-1066302016-10-02T03:02:41Z A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation Egorova, I. Tesch, l G. A one-dimensional SchrÄodinger operator which is a short-range perturbation of a finite-gap operator is considered. There are given the necessary and su±cient conditions on the left/right reflection coeffcient such that the difference of the potentials has finite support to the left/right, respectively. Moreover, these results are applied to show a unique continuation type result for solutions of the Korteweg{de Vries equation in this context. By virtue of the Miura transform an analogous result for the modified Korteweg-de Vries equation is also obtained. 2010 Article A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation / I. Egorova, G. Teschl // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 1. — С. 21-33. — Бібліогр.: 24 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106630 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
A one-dimensional SchrÄodinger operator which is a short-range perturbation of a finite-gap operator is considered. There are given the necessary and su±cient conditions on the left/right reflection coeffcient such that the difference of the potentials has finite support to the left/right, respectively. Moreover, these results are applied to show a unique continuation type result for solutions of the Korteweg{de Vries equation in this context. By virtue of the Miura transform an analogous result for the modified Korteweg-de Vries equation is also obtained. |
| format |
Article |
| author |
Egorova, I. Tesch, l G. |
| spellingShingle |
Egorova, I. Tesch, l G. A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation Журнал математической физики, анализа, геометрии |
| author_facet |
Egorova, I. Tesch, l G. |
| author_sort |
Egorova, I. |
| title |
A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation |
| title_short |
A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation |
| title_full |
A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation |
| title_fullStr |
A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation |
| title_full_unstemmed |
A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation |
| title_sort |
paley-wiener theorem for periodic scattering with applications to the korteweg-de vries equation |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106630 |
| citation_txt |
A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation / I. Egorova, G. Teschl // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 1. — С. 21-33. — Бібліогр.: 24 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
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2023-10-18T20:13:22Z |
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