3 citations · 7 across the 5 of their papers we have counts for
6 papers
Nonuniqueness of Leray-Hopf solutions to the forced fractional Navier-Stokes Equations in three dimensions, up to the J. L. Lions exponent
Calvin Khor, Changxing Miao, Xiaoyan Su
In this paper, we show that for , there exists a force and two distinct Leray-Hopf flows solving the forced fractional Navier-Stokes equation starting…
Growth of Sobolev norms for 2D cubic nonlinear Schrödinger equation with partial harmonic potential
Mingming Deng, Xiaoyan Su, Jiqiang Zheng
In this paper, we study the D cubic nonlinear Schrödinger equation (NLS) with the partial harmonic potential. First, we prove the local well-posedness in Bourgain spaces by esta…
A Limiting absorption principle for high-order Schrödinger operators in critical spaces
Xiaoyan Su, Chengbin Xu, Guixiang Xu +1
In this paper, we prove a limiting absorption principle for high-order Schrödinger operators with a large class of potentials which generalize some results by A. Ionescu and W. Sch…
Hölder regularity for the time fractional Schrödinger equation
Xiaoyan Su, Jiqiang Zheng
In this paper, we investigate that the Hölder regularity of solutions to the time fractional Schrödinger equation of order , which interpolates between the Schrödinger and w…
Dispersive estimates for time and space fractional Schrödinger equations
Xiaoyan Su, Shiliang Zhao, Miao Li
In this paper, we consider the Cauchy problem for the fractional Schrödinger equation with , . We establish the dispersive estimates…
Local well-posedness of semilinear space-time fractional Schrödinger equation
Xiaoyan Su, Shiliang Zhao, Miao Li
The semilinear space-time fractional Schrödinger equation is considered. First, we give the explicit form for the fundamental solutions by using the Fox -functions in order to t…