The L2 Weak Sequential Convergence of Radial Focusing Mass Critical NLS Solutions with Mass Above the Ground State
The L2 Weak Sequential Convergence of Radial Focusing Mass Critical NLS Solutions with Mass Above the Ground State
复制标题
质量高于基态的径向聚焦质量临界NLS解的L2弱序贯收敛
DOI：
10.1093/imrn/rny164
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发表时间：
2016
影响因子：
1
通讯作者：
Chenjie Fan
中科院分区：
文献类型：
--
作者：
Chenjie Fan
研究了质量正好在基态上方的径向聚焦质量临界非线性薛定谔方程的无散射L^{2}解u，证明了存在一个时间序列{tn}{n}$，使得u(tn})$弱收敛到基态，直到标度和相变.我们还给出了关于最小质量爆破解的质量集中现象的部分结果。
We study the non-scattering $L^{2}$ solution $u$ to the radial focusing mass-critical nonlinear Schrödinger equation with mass just above the ground state, and show that there exists a time sequence $\{t_{n}\}_{n}$, such that $u(t_{n})$ weakly converges to the ground state $Q$ up to scaling and phase transformation. We also give some partial results on the mass concentration phenomena of the minimal mass blow-up solution.