A Remark on Norm Inflation with.General Initial Data for the Cubic Nonlinear Schrodinger Equations in Negative Sobolev Spaces

被引：38

作者：

Oh, Tadahiro ^{[1
]}

机构：

[1] Univ Edinburgh, Sch Math, James Clerk Maxwell Bldg,Kings Bldg, Edinburgh EH9 3FD, Midlothian, Scotland

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2017年 / 60卷 / 02期

基金：

欧洲研究理事会;

关键词：

Nonlinear Schrodinger equation; Ill-posedness; Norm inflation; ILL-POSEDNESS; WELL-POSEDNESS; ENERGY; BOUNDS;

D O I：

10.1619/fesi.60.259

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we consider the ill-posedness issue for the cubic nonlinear Schrodinger equation. In particular, we prove norm inflation based at every initial condition in negative Sobolev spaces below or at the scaling critical regularity.

引用

页码：259 / 277

页数：19

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