摘要
该文在二维空间中研究了一类耦合非线性Klein-Gordon方程组的初值问题．首先用变分法证明了具基态的驻波的存在性；其次根据这个结果证明了该初值问题解爆破和整体存在的最佳条件；最后证明了具基态的驻波的不稳定性．
This paper is concerned with the initial value problem of a class of coupled nonlinear Klein-Gordon equations in two space dimensions. The authors first establish the existence of the standing wave with the ground state by using variational calculus, next the authors derive out the sharp conditions for blowing-up and global existence in terms of the result, at last the authors show the instability of the standing wave with the ground state.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2006年第4期559-569,共11页
Acta Mathematica Scientia
基金
四川省教育厅青年基金(20058023)
四川省基金(SZD0406)资助
