3 papers
math.AP2026
Scattering for the Klein-Gordon-Schrödinger system in three dimensions with radial data
Vitor Borges, Tiklung Chan
We prove global well-posedness and scattering for the 3D Klein-Gordon-Schrödinger system for small radial data in the best known global well-posedness range $(u_0, n_0, n_1)\in L^2…
math.CA2025
Restriction and Kakeya maximal estimates in
Tainara Borges, Tiklung Chan, Mingfeng Chen +3
By combining the planebrush argument of Katz and Zahl \cite{katz21} with the decoupling-incidence method of Wang and Wu \cite{WangWu2024}, we derive new bounds for the Fourier rest…
math.CA2024
A study guide for the decoupling theorem for the paraboloid
Ataleshvara Bhargava, Tiklung Chan, Zi Li Lim +1
This article serves as a study guide for the decoupling theorem for the paraboloid originally proved by Bourgain and Demeter. Given its popularity and importance, many exp…