39 citations · 44 across the 18 of their papers we have counts for
18 papers
Strong and Weak-Type Dispersive Estimates for the Energy-Critical Nonlinear Schrödinger Equation with an Inverse-Square Potential
Tiesong Jiang, Kexue Li
We prove dispersive estimates for the three-dimensional defocusing energy-critical nonlinear Schrödinger equation associated with . For nonnegative poten…
Dispersive decay for the Inter-critical nonlinear Schrödinger equation in
Boyu Jiang, Jiawei Shen, Kexue Li
This paper investigates the Cauchy problem for the nonlinear Schrödinger equation (NLS) in the mass-supercritical and energy-subcritical regime within three spatial dimensions. For…
Bound state solutions for non-autonomous fractional Schrödinger-Poisson equations with critical exponent
Kexue Li
In this paper, we study the fractional Schrödinger-Poisson equation \begin{equation*} \ \left\{\begin{aligned} &(-Δ)^{s}u+V(x)u+K(x)ϕu=|u|^{2^{\ast}_{s}-2}u, &\mbox{in} \ \mathbb{R…
Fractional elliptic equations with Hardy potential and critical nonlinearities
Kexue Li
In this paper, we consider the fractional elliptic equation \begin{align*} \left\{\begin{aligned} &(-Δ)^s u-μ\frac{u}{|x|^{2s}} = \frac{|u|^{2_s^\ast (α)-2}u}{|x|^α} + f(x,u), && \…
Existence of non-trivial solutions for nonlinear fractional Schrödinger-Poisson equations
Kexue Li
We prove the existence of non-trivial solutions for a fractional Schrdinger-Poisson equation in . The proof is based on the perturbation method and the mo…
Hlder continuity for stochastic fractional heat equation with colored noise
Kexue Li
In this paper, we consider semilinear stochastic fractional heat equation . The Gaussian noise $η_…
No local solutions for semilinear fractional heat equations
Kexue Li
We study the Cauchy problem for the semilinear fractional heat equation with non-negative initial value and locally L…
A characteristic of local existence for fractional heat equations in Lebesgue spaces
Kexue Li
In this paper, we consider the fractional heat equation with Dirichlet boundary conditions on the ball , where $\triangle…
Maximum principles for a time-space fractional diffusion equation
Junxiong Jia, Kexue Li
In this paper, we focus on maximum principles of a time-space fractional diffusion equation. Maximum principles for classical solution and weak solution are all obtained by using p…
Effects of the noise level on stochastic fractional heat equations
Kexue Li
We consider the stochastic fractional heat equation on with Dirichlet boundary conditions, where denotes the space-t…
Explosive solutions of parabolic stochastic partial differential equations with Lvy noise
Kexue Li, Jigen Peng, Junxiong Jia
In this paper, we study the explosive solutions to a class of parbolic stochastic semilinear differential equations driven by a L$\acute{\mbox{e}}$vy type noise. The sufficient con…
On the global well-posedness of a generalized 2D Boussinesq equations
Junxiong Jia, Jigen Peng, Kexue Li
In this paper, we consider the global solutions to a generalized 2D Boussinesq equation \begin{align*} \left \{\begin{aligned} & \partial_{t} ω+ u\cdot \nabla ω+ νΛ^α ω= θ_{x_{1}}…
On the Decay and Stability of Global Solutions to the 3D Inhomogeneous MHD system
Junxiong Jia, Jigen Peng, Kexue Li
In this paper, we investigative the large time decay and stability to any given global smooth solutions of the D incompressible inhomogeneous MHD systems. We proved that given a…
Well-Posedness and Optimal Time-Decay for Compressible MHD System in Besov Space
Junxiong Jia, Jigen Peng, Kexue Li
In this paper, firstly, we prove the global well-posedness of three dimensional compressible magnetohydrodynamics equations for some classes of large initial data, which may have l…
Square-mean weighted pseudo almost automorphic solutions for stochastic semilinear integral equations
Kexue Li, Jigen Peng
In this paper, we introduce the concept of -weighted pseudo almost automorphy for stochastic processes. We study the existence and uniqueness of square-mean weighted pseudo…
Stochastic delay fractional evolution equations driven by fractional Brownian motion
Kexue Li
In this paper, we consider a class of stochastic delay fractional evolution equations driven by fractional Brownian motion in a Hilbert space. Sufficient conditions for the existen…
Fractional order semilinear Volterra integrodifferential equations in Banach spaces
Kexue Li
In this paper, sufficient conditions are established for the existence results of fractional order semilinear Volterra integrodifferential equations in Banach spaces. The results a…
Square-mean weighted pseudo almost automorphic solutions for nonautonomous stochastic differential equations driven by Levy noise
Kexue Li
In this paper, we introduce the concepts of Poisson square-mean almost automorphy and Poisson square-mean weighted pseudo almost automorphy. Using the theory of evolution family an…