The L2 sequential convergence of a solution to the mass-critical NLS above the ground state

被引：1

作者：

Dodson, Benjamin ^{[1
]}

机构：

[1] Johns Hopkins Univ, 3400 N Charles St, Baltimore, MD 21218 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 215卷

关键词：

NLS; Convergence; Soliton; NONLINEAR SCHRODINGER-EQUATION; GLOBAL WELL-POSEDNESS; BLOW-UP RATE; MINIMAL-MASS; CAUCHY-PROBLEM; SCATTERING; UNIQUENESS;

D O I：

10.1016/j.na.2021.112612

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we generalize a weak sequential result of Fan (2021) to a non scattering solutions in dimension d >= 2. No symmetry assumptions are required for the initial data. We build on a previous result of Dodson (2020) for one dimension. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：25

共 23 条

[1] THE CAUCHY-PROBLEM FOR THE CRITICAL NONLINEAR SCHRODINGER-EQUATION IN HS
CAZENAVE, T
WEISSLER, FB
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 14 (10) : 807 - 836
[2] CAZENAVE T, 1989, LECT NOTES MATH, V1394, P18
[3] Christ M, 2003, AM J MATH, V125, P1235
[4] Dodson B., 2019, DEFOCUSING NONLINEAR, V217
[5] THE L2 SEQUENTIAL CONVERGENCE OF A SOLUTION TO THE ONE-DIMENSIONAL, MASS-CRITICAL NLS ABOVE THE GROUND STATE
Dodson, Benjamin
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 53 (04) : 4744 - 4764
[6] GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE DEFOCUSING, L2-CRITICAL, NONLINEAR SCHRODINGER EQUATION WHEN d=2
Dodson, Benjamin
[J]. DUKE MATHEMATICAL JOURNAL, 2016, 165 (18) : 3435 - 3516
[7] GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE DEFOCUSING, L2-CRITICAL, NONLINEAR SCHRODINGER EQUATION WHEN d=1
Dodson, Benjamin
[J]. AMERICAN JOURNAL OF MATHEMATICS, 2016, 138 (02) : 531 - 569
[8] Global well-posedness and scattering for the mass critical nonlinear Schrodinger equation with mass below the mass of the ground state
Dodson, Benjamin
[J]. ADVANCES IN MATHEMATICS, 2015, 285 : 1589 - 1618
[9] Dodson B, 2012, J AM MATH SOC, V25, P429
[10] The L2 Weak Sequential Convergence of Radial Focusing Mass Critical NLS Solutions with Mass Above the Ground State
Fan, Chenjie
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (07) : 4864 - 4906

← 1 2 3 →