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

被引：37

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

页码：809 / 851

页数：43

共 38 条

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Nakanishi K, 2011, ZUR LECT ADV MATH, P1, DOI 10.4171/095

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