Global Well-posedness for the Fifth-order mKdV Equation

被引：1
|
作者：
Gao, Xin Jun [1 ]
机构：
[1] Univ Sci & Technol China, Dept Math Sci, Hefei 230026, Anhui, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2018年 / 34卷 / 06期
关键词：
Fifth-order mKdV equation; Bourgain space; global well-posedness; I-method; KORTEWEG-DEVRIES EQUATION; SCHRODINGER-EQUATIONS; KDV; SCATTERING; REGULARITY; EXISTENCE;
D O I：
10.1007/s10114-018-7241-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the global well-posedness for the Cauchy problem of fifth-order modified Kor- teweg-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.
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页码：1015 / 1027
页数：13
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