182 citations · 1.5k across the 227 of their papers we have counts for
6 papers · 2 filters
Effective Approximation for a Stochastic System with Large Potential
Ao Zhang, Jinqiao Duan
This letter is about effective approximation for a stochastic parabolic equation with a large potential in a periodic medium. Under a condition on the spectral properties of the as…
The Cauchy problem for the generalized KdV equation with rough data and random data
Wei Yan, Xiangqian Yan, Jinqiao Duan +1
In this paper, we consider the Cauchy problem for the generalized KdV equation with rough data and random data. Firstly, we prove that as $t\longrigh…
Sharp well-posedness of the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili equation in anisotropic Sobolev spaces
Wei Yan, Yimin Zhang, Yongsheng Li +1
We consider the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili (RMKP) equation \begin{align*} \partial_{x}\left(u_{t}-β\partial_{x}^{3}u +\partial_{x}(u^{2})\right…
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…
Effective Wave Factorization for a Stochastic Schrödinger Equation
Ao Zhang, Jinqiao Duan
We study the homogenization of a stochastic Schrödinger equation with a large periodic potential in solid state physics. Denoting by the period, the potential is scal…
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…