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math.AP2020
Pointwise convergence problem of Ostrovsky equation with rough data and random data
Wei Yan, Qiaoqiao Zhang, Jinqiao Duan +1
In this paper, we consider the pointwise convergence problem of free Ostrovsky equation with rough data and random data. Firstly, we show the almost everywhere pointwise convergenc…
math.AP2020
Probabilistic pointwise convergence problem of some dispersive equations
Wei Yan, Jinqiao Duan, Yongsheng Li +1
In this paper, we investigate the almost surely pointwise convergence problem of free KdV equation, free wave equation, free elliptic and non-elliptic Schrödinger equation respecti…
math.AP2020
Normalized solutions for a coupled fractional schrodinger system in low dimensions
Meng Li, Jinchun He, Haoyuan Xu +1
We consider the following coupled fractional Schrödinger system: \begin{equation*} \left\{ \begin{aligned} &(-Δ)^su+λ_1u=μ_1|u|^{2p-2}u+β|v|^p|u|^{p-2}u\\ &(-Δ)^sv+λ_2v=μ_2|v|^{2p-…