Global Well-posedness for the Fifth-order mKdV Equation

被引：0

作者：

Xin Jun GAO ^{[1
]}

机构：

[1] Department of Mathematical Sciences, University of Science and Technology of China

来源：

Acta Mathematica Sinica,English Series | 2018年 / 06期

关键词：

Fifth-order mKdV equation; Bourgain space; global well-posedness; I-method;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

We prove the global well-posedness for the Cauchy problem of fifth-order modified Korteweg–de Vries equation in Sobolev spaces H~s(R) for s>-(3/(22)).The main approach is the"I-method"together with the multilinear multiplier analysis.

引用

页码：1015 / 1027

页数：13

共 50 条

[41] Global well-posedness for the derivative non-linear Schrodinger equation
Jenkins, Robert
Liu, Jiaqi
Perry, Peter A.
Sulem, Catherine
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2018, 43 (08) : 1151 - 1195
[42] Global Well-Posedness of the Cubic Nonlinear Schrodinger Equation on Closed Manifolds
Hani, Zaher
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2012, 37 (07) : 1186 - 1236
[43] Global well-posedness for a L2-critical nonlinear higher-order Schrodinger equation
Van Duong Dinh
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 458 (01) : 174 - 192
[44] On global well-posedness for Klein-Gordon equation with concentrated nonlinearity
Kopylova, Elena
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 443 (02) : 1142 - 1157
[45] Global well-posedness for discrete non-linear Schrodinger equation
N'Guerekata, Gaston M.
Pankov, Alexander
APPLICABLE ANALYSIS, 2010, 89 (09) : 1513 - 1521
[46] Global well-posedness of a Bardina model
Zhou, Yong
Fan, Jishan
APPLIED MATHEMATICS LETTERS, 2011, 24 (05) : 605 - 607
[47] Global Well-Posedness in Set Optimization
Miholca, Mihaela
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021, 42 (14) : 1700 - 1717
[48] ON THE GLOBAL WELL-POSEDNESS FOR THE PERIODIC QUINTIC NONLINEAR SCHRO"\DINGER EQUATION
Yu, Xueying
Yue, Haitian
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2024, 56 (02) : 1851 - 1902
[49] GLOBAL WELL-POSEDNESS FOR THE L2-CRITICAL HARTREE EQUATION ON Rn, n ≥ 3
Chae, Myeongju
Kwon, Soonsik
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (06) : 1725 - 1743
[50] GLOBAL WELL-POSEDNESS AND EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE KADOMTSEV-PETVIASHVILI II EQUATION IN THE ANISOTROPIC SOBOLEV SPACE
Kishimoto, Nobu
Shan, Minjie
Tsutsumi, Yoshio
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (03) : 1283 - 1307

← 1 2 3 4 5 →