一类耦合非线性Schrodinger方程组解的爆破准则

On Blow-up Criterion for the Solutions of Coupled Nonlinear Schrodinger Equations

讨论一类耦合非线性Schrodinger方程组的初值问题.推导局部维里恒等式,在去掉有限方差的假设下,得到方程组的解在有限时间或者无限时间爆破的充分条件.

In this paper,the initial value problem of a class of coupled nonlinear Schrodinger equations is discussed.The local virial identity is derived,without the assumption of finite variance.The sufficient conditions for the blow-up of the solutions for the equations in finite time or infinite time are obtained.