52 citations · 293 across the 36 of their papers we have counts for
36 papers
Global existence for quasilinear wave equations on hyperbolic space
Wei Dai, Chengbo Wang
The main purpose of this paper is to study the global solvability for a general class of quasilinear shifted wave equations on hyperbolic spaces, for smooth initial data with small…
Method of scaling spheres: Liouville theorems in inner or outer (unbounded or bounded) generalized radially convex domains, blowing-up analysis on domains with not necessarily boundary and other applications
Wei Dai, Guolin Qin
In this paper, we aim to introduce the method of scaling spheres (MSS) as a unified approach to Liouville theorems on general domains in , and apply it to establish Li…
The Maxwell-Klein-Gordon equation with scattering data
Wei Dai, He Mei, Dongyi Wei +1
It has been shown in [Yang-Yu 2019] that general large solutions to the Cauchy problem for the Maxwell-Klein-Gordon system (MKG) in the Minkowski space decay lik…
The global behaviors for defocusing wave equations in two dimensional exterior region
Wei Dai
We study the defocusing semilinear wave equation in with the Dirichlet boundary condition, where is a star-s…
Uniform a priori estimates for -th order Lane-Emden system in with
Wei Dai, Leyun Wu
In this paper, we establish uniform a priori estimates for positive solutions to the (higher) critical order superlinear Lane-Emden system in bounded domains with Navier boundary c…
A Generic Closed-form Optimal Step-size for ADMM
Yifan Ran, Wei Dai
In this work, we present a generic step-size choice for the ADMM type proximal algorithms. It admits a closed-form expression and is theoretically optimal with respect to a worst-c…