Asymptotic behavior of solutions to a dissipative nonlinear Schrodinger equation with time-dependent harmonic potentials

被引：0
作者：
Kawamoto, Masaki [1 ]
Sato, Takuya [2 ]
机构：
[1] Ehime Univ, Grad Sch Sci & Engn, Dept Engn Prod, Matsuyama, Ehime 7908577, Japan
[2] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 345卷
关键词：
LONG-RANGE SCATTERING; CAUCHY-PROBLEM; DECAY-RATES; EXISTENCE; NONEXISTENCE; SYSTEM;
D O I：
10.1016/j.jde.2022.11.034
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We analyzed the Cauchy problem of a dissipative nonlinear Schrodinger equation with a time-dependent harmonic potential. We identified a critical situation that determines whether the L2-norm of dissipative solutions exhibits decay, which depends on a nonlinear power and time decay order of harmonic potential. (C) 2022 Published by Elsevier Inc.
引用
收藏
页码：418 / 446
页数：29
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