带有非齐次项的非线性薛定谔方程组

摘要

We study the global existence and blow up in finite time for the solution to the nonlinear Schrodinger equations with inhomogeneous nonlinearities by taking advantage of the conservation of energy and one property of the ordinary differential equation. Moreover, the parameters are expanded ranging from the same sign to the general cases. It is critical that we present the systematic proof for the global existence and blow up in finite time for the solution to the nonlinear Schrodinger e-quations.%本文利用能量守恒和常微分方程的性质,研究带有非齐次项的非线性薛定谔方程组解的整体存在性和有限时刻爆破.将参数u,V,α,β均大于零或均小于零推广到一般情形,对方程组解的整体存在性和有限时刻爆破做了详细证明.