3 citations · 4 across the 2 of their papers we have counts for
6 papers
Bilinear Strichartz's type estimates in Besov spaces with application to inhomogeneous nonlinear biharmonic Schrödinger equation
Xuan Liu, Ting Zhang
In this paper, we consider the well-posedness of the inhomogeneous nonlinear biharmonic Schrödinger equation with spatial inhomogeneity coefficient behaves like $\left|x\rig…
Global solutions for -critical nonlinear biharmonic Schrödinger equation
Xuan Liu, Ting Zhang
We consider the nonlinear biharmonic Schrödinger equation in the critical Sobolev space , where , or…
Local well-posedness and finite time blowup for fourth-order Schrödinger equation with complex coefficient
Xuan Liu, Ting Zhang
We consider the fourth-order Schrödinger equation where or and . Firstly, we prove local well-posedness in…
On a maximal inequality and its application to SDEs with singular drift
Xuan Liu, Guangyu Xi
In this paper we present a Doob type maximal inequality for stochastic processes satisfying the conditional increment control condition. If we assume, in addition, that the margins…
Sobolev inequalities on product Sierpinski spaces
Xuan Liu, Zhongmin Qian
On fractals, different measures (mutually singular in general) are involved to measure volumes of sets and energies of functions. Singularity of measures brings difficulties in (es…
On the maximum of a type of random processes
Xuan Liu
We consider a type of random processes which satisfies the conditional increment condition and obtain an estimate for the tail probability and a Doob-type inequality of the maximum…