Energy Scattering Theory for Electromagnetic NLS in Dimension Two

Jun Yong Zhang*, Ji Qiang Zheng

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

2 引用 (Scopus)

摘要

We study the well-posedness and long-time behavior of solution to both defocusing and focusing nonlinear Schr¨odinger equations with scaling critical magnetic potentials in dimension two. In the defocusing case, and under the assumption that the initial data is radial, we prove interaction Morawetz-type inequalities and show the scattering holds in the energy space. The magnetic potential considered here is the Aharonov–Bohm potential which decays likely the Coulomb potential |x|−1.

源语言英语
页(从-至)641-654
页数14
期刊Acta Mathematica Sinica, English Series
34
4
DOI
出版状态已出版 - 1 4月 2018

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