On the Collapse of Solutions of the Cauchy Problem for the Cubic Schrodinger Evolution Equation

被引：3
|
作者：
Nasibov, Sh. M. [1 ]
机构：
[1] Baku State Univ, Inst Appl Math, AZ-1148 Baku, Azerbaijan
来源：
MATHEMATICAL NOTES | 2019年 / 105卷 / 1-2期
关键词：
Schrodinger equation; Cauchy problem; interpolation inequality;
D O I：
10.1134/S0001434619010073
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that, for some initial data, the solutions of the Cauchy problem for the cubic Schrodinger evolution equation blow up in finite time whose exact value is estimated from above. In addition, lower bounds for the blow-up rate of the solution in certain norms are obtained.
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页码：64 / 70
页数：7
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