5 papers
Transference theory for the trilinear restriction estimate and an application to the quadratic NLS in 3D
Ioan Bejenaru, Vitor Borges, Tiklung Chan
In this article we develop a theory for effectively transferring trilinear restriction estimates for the Schrödinger equation to functions in a more general resolution space adapte…
The -linear restriction estimate in with degenerate curvature
Ioan Bejenaru, Tiklung Chan
We revisit the -linear restriction estimate in proved by the first author in \cite{Be-6} and refine the result in the case when the curvature assumptions cont…
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…
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…
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…