3 papers
math.AP2026
isomorphisms for the fractional Laplacian on and their application
Congming Li, Yugao Ouyang, Zixuan Wang
A classical theory of Amrouche, Girault and Giroire (1994) resolves the Laplace equation on through an isomorphism between weighted Sobolev spaces. Inspired by their…
math.AP2026
A convergence result for the master operator
Wenxiong Chen, Yahong Guo, Congming Li +1
In this paper, we establish a convergence result for the fully fractional heat operator $\ma{s}$, also known as the master operator, stated as follows: \[\mbox{If\ }u_i\to u\ \mbox…
math.AP2025
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…