Energy thresholds of blow-up for the Hartree equation with a focusing subcritical perturbation

被引：6

作者：

Tian, Shuai ^{[1
,2
]}

Yang, Ying ^{[1
,2
]}

Zhou, Rui ^{[3
]}

Zhu, Shihui ^{[1
,2
]}

机构：

[1] Sichuan Normal Univ, Sch Math Sci, Chengdu 610066, Peoples R China

[2] Sichuan Normal Univ, VC & VR Key Lab, Chengdu 610066, Peoples R China

[3] Meishan Vocat & Tech Coll, Dept Normal Educ, Meishan, Peoples R China

来源：

STUDIES IN APPLIED MATHEMATICS | 2021年 / 146卷 / 03期

关键词：

blow‐ up; nonlinear Schrö dinger equation; subcritical perturbation; sharp energy threshold; NONLINEAR SCHRODINGER-EQUATION; GLOBAL WELL-POSEDNESS; STABLE STANDING WAVES; POWER-TYPE; SCATTERING; EXISTENCE;

D O I：

10.1111/sapm.12362

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the blow-up solutions for the Schrodinger equation with a Hartree-type nonlinearity together with a power-type subcritical perturbation. The precisely sharp energy thresholds for blow-up and global existence are obtained by analyzing potential well structures for associated functionals.

引用

页码：658 / 676

页数：19

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