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

页码：207 / 244

页数：38

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