@article{51b09cfd42444caea65100a0ecc262d9,
title = "Global solutions of the evolutionary Faddeev model with small initial data",
abstract = "We consider the Cauchy problem for evolutionary Faddeev model corresponding to maps from the Minkowski space ℝ1+n to the unit sphere S2, 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.",
keywords = "Faddeev model, global existence, quasi-linear wave equations, semi-linear wave equations",
author = "Zhen Lei and Lin, {Fang Hua} and Yi Zhou",
note = "Funding Information: Received September 10, 2010, accepted October 8, 2010 The first author is partly supported by National Natural Science Foundation of China (Grants Nos. 10801029 and 10911120384), FANEDD, Shanghai Rising Star Program (10QA1400300), SGST 09DZ2272900 and SRF for ROCS, SEM; the second author is partly supported by an NSF grant; the third author is partly supported by the National Natural Science Foundation of China (Grant No. 10728101), the 973 project of the Ministry of Science and Technology of China, the Doctoral Program Foundation of the Ministry of Education of China, the “111” project (B08018) and SGST 09DZ2272900",
year = "2011",
month = feb,
doi = "10.1007/s10114-011-0465-1",
language = "English (US)",
volume = "27",
pages = "309--328",
journal = "Acta Mathematica Sinica, English Series",
issn = "1439-8516",
publisher = "Springer Verlag",
number = "2",
}