On the well-posedness for NLS in Hs

被引：10
|
作者：
Fang, Daoyuan [1 ]
Han, Zheng [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2013年 / 264卷 / 06期
关键词：
Schrodinger equation; Initial value problem; Local well-posedness; Fractional order Sobolev spaces; Besov spaces; SCHRODINGER-EQUATIONS;
D O I：
10.1016/j.jfa.2013.01.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we prove the local well-posedness of the Cauchy problem for the nonlinear Schrodinger equation i partial derivative(t)u + Delta u = c vertical bar u vertical bar(sigma) in H-s (R-N), with 0 < sigma < 4/(N - 2s) and 1 < s < min{N/2, 2}. (c) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：1438 / 1455
页数：18
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