Asymptotic Behavior for the Davey-Stewartson System at the Mass-Energy Threshold

被引：0

作者：

Huang, Juan ^{[1
]}

Wang, Yangyang ^{[1
]}

Wang, Sheng ^{[1
]}

机构：

[1] Sichuan Normal Univ, Sch Math Sci & VC, VR Key Lab of Sichuan Province, Chengdu 610066, Sichuan, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2024年 / 79卷 / 01期

关键词：

Davey-Stewartson systems; grow-up; blow-up; BLOW-UP SOLUTIONS; GLOBAL EXISTENCE; STANDING WAVES; SHARP THRESHOLD; GROUND-STATES; INSTABILITY; SINGULARITY; SCATTERING; EQUATIONS; CRITERIA;

D O I：

10.1007/s00025-023-02057-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the mass-energy threshold dynamics for the elliptic-elliptic Davey-Stewartson system in dimension three. By proving the compactness of minimizing sequence for the Weinstein functional, we show the long time behavior of solutions with data being at the mass-energy threshold. Our proof is based on a Gagliardo-Nirenberg type inequality, localized virial estimates and the concentration-compactness lemma.

引用

页数：18

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