论文标题
在最佳阈值设置下的衍生非线性Schrodinger方程的爆炸标准的评论
Remarks on blow-up criteria for the derivative nonlinear Schrodinger equation under the optimal threshold setting
论文作者
论文摘要
我们研究了具有4PI质量的衍生物的质量关键非线性Schrodinger方程的库奇问题。每当“质量严格小于4pi”或“质量等于4pi，并且动量严格小于零”时，就具有H^1的全局良好性。在本文中，按照肯尼格·梅尔（Kenig-Merle）最初完成的浓度紧凑原理，我们获得了用临界4PI质量的吹动溶液的限制曲线。
We study the Cauchy problem of the mass critical nonlinear Schrodinger equation with derivative with the 4pi mass. One has the global well-posedness in H^1 whenever "the mass is strictly less than 4pi" or whenever "the mass is equal to 4pi 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 4pi mass.
