Global Solutions of the Evolutionary Faddeev Model with Small Initial Data

被引：10
|
作者：
Lei, Zhen [1 ,2 ]
Lin, Fang Hua [3 ]
Zhou, Yi [1 ,2 ]
机构：
[1] Fudan Univ, Sch Math Sci, LMNS, Shanghai 200433, Peoples R China
[2] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
[3] NYU, Courant Inst Math, New York, NY 10012 USA
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2011年 / 27卷 / 02期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Faddeev model; global existence; quasi-linear wave equations; semi-linear wave equations; EXISTENCE; ENERGY; EQUATIONS; SOLITONS;
D O I：
10.1007/s10114-011-0465-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Cauchy problem for evolutionary Faddeev model corresponding to maps from the Minkowski space R1+n to the unit sphere S-2, which obey a system of non-linear wave equations. The nonlinearity enjoys the null structure and contains semi-linear terms, quasi-linear terms and unknowns themselves. We prove that the Cauchy problem is globally well-posed for sufficiently small initial data in Sobolev space.
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页码：309 / 328
页数：20
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