Scattering for the focusing energy-subcritical nonlinear Schrödinger equation

被引：0
|
作者：
DaoYuan Fang
Jian Xie
Thierry Cazenave
机构：
[1] Zhejiang University,Department of Mathematics
[2] Hangzhou Normal University,Department of Mathematics
[3] Université Pierre et Marie Curie & CNRS,Laboratoire Jacques
来源：
Science China Mathematics | 2011年 / 54卷
关键词：
nonlinear Schrödinger equation; scattering; mass-supercritical and energy-subcritical; 35Q55; 35B40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For the 3D focusing cubic nonlinear Schrödinger equation, scattering of H1 solutions inside the (scale invariant) potential well was established by Holmer and Roudenko (radial case) and Duyckaerts et al. (general case) in 2008. In this paper, we extend this result to arbitrary space dimensions and focusing, mass-supercritical and energy-subcritical power nonlinearities, by adapting the method of Duyckaerts et al.
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页码：2037 / 2062
页数：25
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