Uniform Estimate of Potentials by Reflection Coefficients and its Application to KdV Flow
DOI:
https://doi.org/10.15407/mag19.01.150Анотація
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
Ключові слова:
оператор Шредiнгера, коефiцiєнт вiдвиття, рiвняння Кортевега–де ФрiзаПосилання
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