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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Bibliographic Details
Date:2023
Main Authors: Kotani, Shinichi, Li, Jinhui
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2023
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1000
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry

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