15 citations · 16 across the 9 of their papers we have counts for
5 papers · 1 filter
Spatial decay and nonlinear smoothing of the generalized Ostrovsky equation
Xiangqian Yan, Wei Yan, Meihua Yang
This paper is devoted to studying the generalized Ostrovsky equation \begin{eqnarray*} u_{t}-β\partial_{x}^{3}u-γ\partial_{x}^{-1}u+\frac{1}{k+1}(u^{k+1})_{x}=0,k\geq5 \end{eqnarra…
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…
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…
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-…
Positive ground state solutions for fractional Laplacian system with one critical exponent and one subcritical exponent
Maoding Zhen, Jinchun He, Haoyuan Xu +1
In this paper, we consider the following fractional Laplacian system with one critical exponent and one subcritical exponent \begin{equation*} \begin{cases} (-Δ)^{s}u+μu=|u|^{p-1}u…