Sharp conditions for a class of nonlinear Schrodinger equations

被引：0

作者：

Liu, Yang ^{[1
]}

Liu, Jie ^{[2
]}

Yu, Tao ^{[2
]}

机构：

[1] Northwest Minzu Univ, Coll Math & Comp Sci, Lanzhou 730030, Peoples R China

[2] Harbin Engn Univ, Coll Math Sci, Harbin 150001, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2023年 / 20卷 / 02期

关键词：

nonlinear Schrodinger equations; global existence; blow-up; sharp conditions; invariant manifolds;

D O I：

10.3934/mbe.2023174

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper studies a class of nonlinear Schrodinger equations in two space dimensions. By constructing a variational problem and the so-called invariant manifolds of the evolution flow, we get a sharp condition for global existence and blow-up of solutions.

引用

页码：3721 / 3730

页数：10

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