A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation
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| Creator |
Egorova, I.
Tesch, l G. |
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| 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.
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| Date |
2016-10-01T15:05:28Z
2016-10-01T15:05:28Z 2010 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Журнал математической физики, анализа, геометрии
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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