Blow-up or Grow-up for the threshold solutions to the nonlinear Schrodinger equation

被引：0

作者：

Gustafson, Stephen ^{[1
]}

Inui, Takahisa ^{[1
,2
]}

机构：

[1] Univ British Columbia, 1984 Math RD, Vancouver, BC V6T 1Z2, Canada

[2] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 20卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

nonlinear Schrodinger equation; blow-up; grow-up; threshold; GROUND-STATE; CAUCHY-PROBLEM; SCATTERING; PROOF;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonlinear Schrodinger equation with L-2-supercritical and H-1-subcritical power type nonlinearity. Duyckaerts and Roudenko [8] and Campos, Farah, and Roudenko [3] studied the global dynamics of the solutions with same mass and energy as that of the ground state. In these papers, finite variance is assumed to show the finite time blow-up. In the present paper, we remove the finite-variance assumption and prove a blow-up or grow-up result.

引用

页码：213 / 225

页数：13

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