A new proof of scattering below the ground state for the non-radial focusing NLS
A new proof of scattering below the ground state for the non-radial focusing NLS
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DOI：
10.4310/mrl.2018.v25.n6.a5
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发表时间：
2017-12
期刊：
影响因子：
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通讯作者：
B. Dodson;Jason Murphy
中科院分区：
文献类型：
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作者：
B. Dodson;Jason Murphy
我们重新讨论了Duyck Aerts，Holmer和Roudenko对非径向H^{1/2}{1/2}临界聚焦NLS的散射结果。通过证明一个相互作用的Morawetz不等式，我们给出了在维度dgeq3中散射到基态以下的一个简单证明，避免了使用集中紧致性。
We revisit the scattering result of Duyckaerts, Holmer, and Roudenko for the non-radial $\dot H^{1/2}$-critical focusing NLS. By proving an interaction Morawetz inequality, we give a simple proof of scattering below the ground state in dimensions $d\geq 3$ that avoids the use of concentration compactness.