Uniform Estimate of Potentials by Reflection Coefficients and its Application to KdV Flow

Автор(и)

  • Shinichi Kotani Osaka University, 2-12-2 Yurinokidai Sanda 669-1324, Japan
    Department of Mathematics, Nanjing University, Nanjing 210093, China
  • Jinhui Li School of Mathematics and Statistics, Fuyang Normal University, Fuyang 236041, China

DOI:

https://doi.org/10.15407/mag19.01.150

Ключові слова:

оператор Шредiнгера, коефiцiєнт вiдвиття, рiвняння Кортевега–де Фрiза

Анотація

Оцiнено потенцiали одновимiрних операторiв Шредiнгера через моменти коефiцiєнтiв вiдбиття. Оскiльки коефiцiєнти вiдбиття є iнварiантними вiдносно потоку Кортевега–де Фрiза, оцiнки надають iнформацiю про певну передкомпактнiсть розв’язкiв рiвняння Кортевега–де Фрiза, починаючи з початкових значень, якi мають скiнченнi моменти коефiцiєнтiв вiдбиття.

Mathematical Subject Classification 2020: 34A55, 34B20, 35Q53

Посилання

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Kotani, S.; Li, J. Uniform Estimate of Potentials by Reflection Coefficients and its Application to KdV Flow. Журн. мат. фіз. анал. геом. 2023, 19, 150-171.

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