Uniform Estimate of Potentials by Reflection Coefficients and its Application to KdV Flow
Potentials of 1D Schrödinger operators are estimated by the moments of the reflection coefficients. Since the reflection coefficients are invariant under the KdV flow, the estimates provide information on some pre-compactness of solutions to the KdV equation starting from initial data having finite...
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| Datum: | 2023 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2023
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| Online Zugang: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1000 |
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| Назва журналу: | Journal of Mathematical Physics, Analysis, Geometry |
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Journal of Mathematical Physics, Analysis, Geometry| Zusammenfassung: | Potentials of 1D Schrödinger operators are estimated by the moments of the reflection coefficients. Since the reflection coefficients are invariant under the KdV flow, the estimates provide information on some pre-compactness of solutions to the KdV equation starting from initial data having finite moments of the reflection coefficients.
Mathematical Subject Classification 2020: 34A55, 34B20, 35Q53 |
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