2 citations · 2 across the 4 of their papers we have counts for
4 papers
Critical regularity and dissipativity for stochastic reaction-diffusion equations in Bochner spaces over spaces of continuous functions
Xuewei Ju, Xiaoting Tong
In this paper, we consider the stochastic reaction-diffusion equation on a smooth bounded domain w…
An Invariant Set Bifurcation Theory for Nonautonomous Nonlinear Evolution Equations
Xuewei Ju, Ailing Qi
In this paper we establish an invariant set bifurcation theory for the nonautonomous dynamical system $(\va_\lam,\0)_{X,\cH}$ generated by the evolution equation \be\label{e0}u_t+A…
Uniform Decay Estimates for Solutions of a Class of Retarded Integral Inequalities
Desheng Li, Qiang Liu, Xuewei Ju
Some uniform decay estimates are established for solutions of the following type of retarded integral inequalities: $$y(t)\leq E(t,τ)||y_τ||+\int_τ^t K_1(t,s)||y_s||ds+\int_t^\inft…
Bifurcation from Infinity and Multiplicity of the Landesman-Lazer Type Problem of Elliptic Equations
Xuewei Ju, Desheng Li, Youbin Xiong
This paper deals with the Landesman-Lazer type problem of elliptic equations associated with homogeneous Dirichlet boundary conditions. By using some dynamical arguments we derive…