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.
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页数：18
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