Scattering below the ground state for the intercritical non-radial inhomogeneous NLS

被引：10

作者：

Cardoso, Mykael ^{[1
]}

Farah, Luiz Gustavo ^{[2
]}

Guzman, Carlos M. ^{[3
]}

Murphy, Jason ^{[4
]}

机构：

[1] Univ Fed Piaui, Dept Math, Teresina, Brazil

[2] Univ Fed Minas Gerais, Dept Math, Belo Horizonte, Brazil

[3] Univ Fed Fluminense, Dept Math, Niteroi, Brazil

[4] Dept Math & Stat, Missouri S&T, Rolla, MO USA

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2022年 / 68卷

关键词：

Inhomogeneous NLS; Intercritical; Non-radial data; Scattering; GLOBAL WELL-POSEDNESS; BLOW-UP; SPACE;

D O I：

10.1016/j.nonrwa.2022.103687

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the focusing inhomogeneous nonlinear Schrodinger equation i & part;(t)u+ ?u+ |x|(-b)|u|(alpha)u= 0 on R x R-N, with N >= 2, 0 < b < min{N/2 , 2}, and 4-2b/N < alpha < 4-2b/N-2 . These constraints make the equation mass-supercritical and energy-subcritical. We extend the results of Farah and Guzman (2020) and Miao et al. (2019) and prove scattering below the ground state with general initial data. (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：19

共 32 条

[1] Blowup and scattering problems for the nonlinear Schrodinger equations [J].