Large global solutions for nonlinear Schrodinger equations I, mass-subcritical cases

被引：5

作者：

Beceanu, Marius ^{[1
]}

Deng, Qingquan ^{[2
]}

Soffer, Avy ^{[3
]}

Wu, Yifei ^{[4
]}

机构：

[1] SUNY Albany, Dept Math & Stat, Earth Sci 110, Albany, NY 12222 USA

[2] Cent China Normal Univ, Dept Math, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China

[3] Rutgers State Univ, Dept Math, 110 Frelinghuysen Rd, Piscataway, NJ 08854 USA

[4] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

来源：

ADVANCES IN MATHEMATICS | 2021年 / 391卷

关键词：

Nonlinear Schrodinger equation; Global well-posedness; Critical regularity; SUPERCRITICAL WAVE-EQUATIONS; DATA CAUCHY-THEORY; DEFOCUSING QUINTIC NLS; SURE WELL-POSEDNESS; INVARIANT-MEASURES; RADIAL SOLUTIONS; CRITICAL H; SCATTERING; SPACE; DIMENSIONS;

D O I：

10.1016/j.aim.2021.107973

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the nonlinear Schrodinger equation, i partial derivative(t)u + Delta u = mu vertical bar u vertical bar(p)u, (t, x) is an element of Rd+1, with mu= +/- 1, p > 0. In this work, we consider the mass-subcritical cases, that is, p is an element of (0, 4/d). We prove that under some restrictions on d, p, any radial initial data in the critical space H-sc (R-d) with compact support, implies global well-posedness. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：45

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