We prove that solutions of the Cauchy problem for the nonlinear Schrödinger equation with certain initial data collapse in a finite time, whose exact value we estimate from above. We obtain an estimate from below for the solution collapse rate in certain norms.

中文翻译：

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非线性薛定谔方程柯西问题解的塌陷率

我们证明了具有某些初始数据的非线性薛定谔方程的柯西问题的解在有限时间内崩溃，我们从上面估计了其确切值。我们从下面获得了某些规范中解决方案崩溃率的估计值。