Nonlinear fourth-order Schrodinger equations with radial data

被引：17
|
作者：
Wang, Yuzhao [1 ]
机构：
[1] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期
关键词：
Scattering; LWP; Critical spaces; Strichartz estimates; Radial data;
D O I：
10.1016/j.na.2011.10.047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the small data scattering and large data local well-posedness for the nonlinear fourth-order Schrodinger equation with radial data in critical (H-sc) over dot space, and in particular, for some s(c) <= 0. The new ingredient is the improved Strichartz estimates for fourth-order Schrodinger equations with radial initial data. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2534 / 2541
页数：8
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