Absence of Global Periodic Solutions for a Schrodinger-Type Nonlinear Evolution Equation

被引：1

作者：

Nasibov, Sh M. ^{[1
]}

机构：

[1] Baku State Univ, Inst Appl Math, AZ-1148 Baku, Azerbaijan

来源：

DOKLADY MATHEMATICS | 2020年 / 102卷 / 02期

关键词：

nonlinear evolution equation; Schrodinger equation; periodic solution; global solution; absence of periodic global solutions;

D O I：

10.1134/S1064562420050373

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of the absence of global periodic solutions for a Schrodinger-type nonlinear evolution equation with a linear damping term is investigated. It is proved that when the damping coefficient is nonnegative, the problem does not have global periodic solutions for any initial data, while when it is negative, the same is valid for "sufficiently large values" of the initial data.

引用

页码：401 / 402

页数：2

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