Probabilistic local wellposedness of 1D quintic NLS below L2(R)

被引：0

作者：

Hwang, Gyeongha ^{[1
]}

Yoon, Haewon ^{[2
]}

机构：

[1] Yeungnam Univ, Dept Math, 280 Daehak Ro, Gyongsan 38541, Gyeongbuk, South Korea

[2] Chung Ang Univ, Dept Math, 84 Heukseok Ro, Seoul 06974, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 527卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Probabilistic wellposedness; Nonlinear Schrodinger equation; Bilinear Strichartz estimate; NONLINEAR SCHRODINGER-EQUATION; WELL-POSEDNESS;

D O I：

10.1016/j.jmaa.2023.127195

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem of the nonlinear Schrodinger equation i partial differential tu + partial differential x2u +/- u5 = 0 on the real line, which is L2-critical. We prove the local well-posedness of the initial value problem (IVP) for the scaling supercritical regularity regime - 10 < s < 0 in probabilistic manner. One of the main ingredient is to establish the 1 probabilistic bilinear Strichartz estimate.(c) 2023 Published by Elsevier Inc.

引用

页数：21

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