Remarks on blow-up criteria for the derivative nonlinear Schr?dinger equation under the optimal threshold setting
Remarks on blow-up criteria for the derivative nonlinear Schr?dinger equation under the optimal threshold setting
复制标题
最优阈值设定下导数非线性薛定谔方程的爆破准则评述
DOI：
10.1016/j.jde.2021.05.003
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发表时间：
2021
影响因子：
2.4
通讯作者：
Takaoka Hideo
中科院分区：
文献类型：
--
作者：
Takaoka Hideo
研究了具有4 π质量导数的质量临界非线性薛定谔方程的Cauchy问题.当“质量严格小于4π”或“质量等于4π且动量严格小于零”时，在H1中具有整体适定性.本文利用Kenig-Merle提出的浓度紧致原理，得到了具有临界4π质量的爆破解的极限轮廓.
We study the Cauchy problem of the mass critical nonlinear Schrödinger equation with derivative with the 4 π mass. One has the global well-posedness in H 1 whenever “the mass is strictly less than 4π” or whenever “the mass is equal to 4π and the momentum is strictly less than zero”. In this paper, by the concentration compact principle as originally done by Kenig-Merle, we obtain the limiting profile of blow up solutions with the critical 4π mass.