具有排斥势的聚焦NLS的阈值散射

IF 1.2 2区数学 Q1 MATHEMATICS

Indiana University Mathematics Journal Pub Date : 2021-02-14 DOI:10.1512/iumj.2023.72.9404

C. Miao, Jason Murphy, Jiqiang Zheng

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引用次数: 12

摘要

我们采用Duyckaerts, Landoulsi和Roudenko最近工作中的论点，建立了具有排斥势的$3d$聚焦立方NLS在尖锐阈值处的散射结果。我们既处理Hong先前工作中考虑的短程势，也处理作者先前工作中考虑的平方反比势。

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Threshold scattering for the focusing NLS with a repulsive potential

We adapt the arguments in the recent work of Duyckaerts, Landoulsi, and Roudenko to establish a scattering result at the sharp threshold for the $3d$ focusing cubic NLS with a repulsive potential. We treat both the case of short-range potentials as previously considered in the work of Hong, as well as the inverse-square potential, previously considered in the work of the authors.

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