4 papers
math.DG2026
Allard Regularity for Abelian Yang--Mills--Higgs Equation
Huy The Nguyen, Shengwen Wang
We study solutions to the self-dual Abelian Yang--Mills--Higgs (YMH) equations in the singular limit $\e \to 0 $, where the associated self-dual Ginzburg--Landau type energy \begin…
math.AP2023
Physical space approach to wave equation bilinear estimates revisit
Sheng Wang, Yi Zhou
In the paper by Klainerman, Rodnianski and Tao \cite{Klainerman-Rodnianski-Tao}, they give a physical space proof to a classical result of Klainerman and Machedon \cite{Klainerman-…
math.AP2023
Periodic Schrödinger map flow on Kähler manifolds
Sheng Wang, Yi Zhou
Wei-Yue Ding \cite{Ding 2002} proposeed a proposition about Schrödinger map flow in 2002 International Congress of Mathematicians in Beijing, which is called Wei-Yue Ding conjectur…
math.AP2022
Global well-posedness for radial extremal hypersurface equation in -dimensional Minkowski space-time in critical Sobolev space
Sheng Wang, Yi Zhou
In this article, we prove the global well-posedness in the critical Sobolev space for the radial tim…