4 papers
Methods in studying qualitative properties of fractional equations
Wenxiong Chen, Yahong Guo, Congming Li
In this paper, we systematically review a series of effective methods for studying the qualitative properties of solutions to fractional equations. Beginning with the pioneering ex…
Boundary regularity and a priori estimates for fractional equations on unbounded domains
Yahong Guo, Congming Li, Yugao Ouyang
In this paper, we study the boundary Hölder regularity for solutions to the fractional Dirichlet problem in unbounded domains with boundary \begin{equation*} \begin{cases} (-Δ)^s u…
Refined regularity for nonlocal elliptic equations and applications
Wenxiong Chen, Congming Li, Leyun Wu +1
In this paper, we establish refined regularity estimates for nonnegative solutions to the fractional Poisson equation Specifically, we hav…
Regularity of solutions for fully fractional parabolic equations
Wenxiong Chen, Yahong Guo, Congming Li
In this paper, we study the fully fractional heat equation involving the master operator: $$ (\partial_t -Δ)^{s} u(x,t) = f(x,t)\ \ \mbox{in}\ \mathbb{R}^n\times\mathbb{R} , $$ whe…