Local well-posedness for the derivative nonlinear Schrodinger Equation in Besov Spaces

被引：0
|
作者：
Cloos, Cai Constantin [1 ]
机构：
[1] Univ Bielefeld, Fak Math, Postfach 100131, D-33501 Bielefeld, Germany
来源：
HOKKAIDO MATHEMATICAL JOURNAL | 2019年 / 48卷 / 01期
关键词：
local well-posedness; derivative nonlinear Schrodinger equation; Besov space; multilinear estimates;
D O I：
10.14492/hokmj/1550480650
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that the cubic derivative nonlinear Schrodinger equation is locally well-posed in Besov spaces B-2,infinity(s) (X), s >= 1/2, where we treat the non-periodic setting X = R and the periodic setting X = T simultaneously. The proof is based on the strategy of Herr for initial data in H-s (T), s >= 1/2.
引用
收藏
页码：207 / 244
页数：38
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