论文标题

中间批判性不均匀NLS方程的急剧爆炸结果

Sharp blow-up result for the intercritical Inhomogeneous NLS equation

论文作者

Li, Yuan

论文摘要

在本文中,我们考虑了中临界非均匀的非线性schrödinger方程。对于径向对称性初始数据,我们构建了环吹式溶液并获得爆炸速度。该结果意味着上限在Cardoso和Farah给出的爆炸速度上[J。功能。肛门,281(8)编号109134,(2021)]很尖锐。

In this paper, we consider the intercritical inhomogeneous nonlinear Schrödinger equation. For the radial symmetry initial data, we construct the ring blow-up solutions and obtain blow-up speed. This result implies that the upper bound on the blow-up speed given by Cardoso and Farah [J. Funct. Anal.,281(8) No. 109134, (2021)] is sharp.

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