Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations in almost critical spaces
نویسندگان
چکیده
In this paper, we consider the Cauchy problem of system quadratic derivative nonlinear Schrödinger equations introduced by Colin and (2004). We determine an almost optimal Sobolev regularity where smooth flow map exists, except for scaling critical case. This result covers a gap left open in papers first second authors (2014, 2019).
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.125028