Global Well-Posedness and Scattering for Derivative Schrodinger Equation

被引：3

作者：

Wang, Yuzhao ^{[1
]}

机构：

[1] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 36卷 / 10期

关键词：

Besov spaces; Derivative Schrodinger equations; Global well-posedness; Non-elliptic case; Scattering; MANY-BODY SYSTEMS; COHERENT STRUCTURES; CLASSICAL-SOLUTIONS; EXISTENCE; MAPS;

D O I：

10.1080/03605302.2011.600798

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the Cauchy problem for the elliptic and non-elliptic derivative nonlinear Schrodinger equations in higher spatial dimensions (n >= 2) and some global well-posedness results with small initial data in critical Besov spaces B-2,1(s) are obtained. As by-products, the scattering results with small initial data are also obtained.

引用

页码：1694 / 1722

页数：29

共 50 条

[31] GLOBAL WELL-POSEDNESS BELOW THE GROUND STATE FOR THE NONLINEAR SCHRODINGER EQUATION WITH A LINEAR POTENTIAL
Hamano, Masaru
Ikeda, Masahiro
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (12) : 5193 - 5207
[32] Global well-posedness for the energy-critical focusing nonlinear Schrodinger equation on T4
Yue, Haitian
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 280 : 754 - 804
[33] Global well-posedness of the derivative nonlinear Schrodinger equation with periodic boundary condition in H1/2
Mosincat, Razvan
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (08) : 4658 - 4722
[34] LOW REGULARITY GLOBAL WELL-POSEDNESS FOR THE NONLINEAR SCHRODINGER EQUATION ON CLOSED MANIFOLDS
Akahori, Takafumi
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2010, 9 (02) : 261 - 280
[35] GLOBAL WELL-POSEDNESS OF THE CAUCHY PROBLEM OF A HIGHER-ORDER SCHRODINGER EQUATION
Wang, Hua
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
[36] Global Well-posedness for the Fifth-order mKdV Equation
Gao, Xin Jun
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2018, 34 (06) : 1015 - 1027
[37] Global well-posedness and scattering for a class of nonlinear Dunkl-Schrodinger equations
Mejjaoli, H.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1121 - 1139
[38] The global well-posedness for nonlinear Schrodinger equation with the delta potential in the energy space
Cui, Qiuhua
Tang, Xingdong
Yu, Xiaoqing
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (09) : 10234 - 10245
[39] Global well-posedness for the mass-critical nonlinear Schrodinger equation on T
Li, Yongsheng
Wu, Yifei
Xu, Guixiang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 250 (06) : 2715 - 2736
[40] Well-posedness for the fourth-order Schrodinger equation with third order derivative nonlinearities
Hirayama, Hiroyuki
Ikeda, Masahiro
Tanaka, Tomoyuki
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021, 28 (05):

← 1 2 3 4 5 →