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

页码：2534 / 2541

页数：8

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