Xiao-song Yang

collaborators

2 papers

math.AP2026

Sharp regularity for the periodic Camassa--Holm equation in critical Triebel--Lizorkin spaces

Wenhai Shan, Xiao-Song Yang

We establish a sharp well-posedness and norm inflation theory for the Camassa--Holm equation in critical Triebel--Lizorkin $F_{p, q}^{1 + 1/ p} (T)$ . At the endpoint $p = 1$ , we…

math.AP2026

Time-refined Triebel--Lizorkin Estimates and Applications to Keller--Segel Type Equations

Wenhai Shan, Xiao-song Yang

We develop heat-flow estimates in critical homogeneous Triebel--Lizorkin spaces and apply them to two-dimensional Keller--Segel type equations. For $q > 2$ , we show that the heat-flo…