Global Dynamics Above the Ground State for the Nonlinear Klein-Gordon Equation Without a Radial Assumption

被引：36
作者：
Nakanishi, K. [1 ]
Schlag, W. [2 ]
机构：
[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan
[2] Univ Chicago, Dept Math, Chicago, IL 60615 USA
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2012年 / 203卷 / 03期
基金：
美国国家科学基金会;
关键词：
DEFINED SCATTERING OPERATORS; STABLE MANIFOLDS; WELL-POSEDNESS; BLOW-UP; SCHRODINGER; INSTABILITY; EXISTENCE; DECAY;
D O I：
10.1007/s00205-011-0462-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend our result Nakanishi and Schlag in J. Differ. Equ. 250(5):2299-2333, 2011) to the non-radial case, giving a complete classification of global dynamics of all solutions with energy that is at most slightly above that of the ground state for the nonlinear Klein-Gordon equation with the focusing cubic nonlinearity in three space dimensions.
引用
收藏
页码：809 / 851
页数：43
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