Collapse Rate of Solutions of the Cauchy Problem for the Nonlinear Schrödinger Equation

被引：0

作者：

Sh. M. Nasibov

机构：

[1] Baku State University,Institute of Applied Mathematics

来源：

Theoretical and Mathematical Physics | 2020年 / 203卷

关键词：

nonlinear Schrödinger evolution equation; Cauchy problem; collapse; collapse rate; interpolation inequality;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：726 / 733

页数：7

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