3 papers
math.AP2019
On an $H^r(\curl,Ø)$ estimate for a Maxwell-type system in convex domains
Xingfei Xiang
In bounded convex domains, the regularity estimates of a vector field $\u$ with its $\dv\u$, $\curl\u$ in space and the tangential components or the normal component of $\u$…
math.AP2014
Hardy-type inequalities for vector fields with the tangential components vanishing
Xingfei Xiang, Zhibing Zhang
This note studies the Hardy-type inequalities for vector fields with the norm of the $\curl$. In contrast to the well-known results in the whole space for the divergence-free…
math.FA2013
Lorentz space estimates for vector fields with divergence and curl in Hardy spaces
Yoshikazu Giga, Xingfei Xiang
In this note, we establish the estimate on the Lorentz space for vector fields in bounded domains under the assumption that the normal or the tangential component of the…