8 citations · 19 across the 4 of their papers we have counts for
4 papers
A Large Data Regime for non-linear Wave Equations
Jinhua Wang, Pin Yu
For semi-linear wave equations with null form non-linearities on , we exhibit an open set of initial data which are allowed to be large in energy spaces, yet we c…
Long time solutions for wave maps with large data
Jinhua Wang, Pin Yu
For 2 + 1 dimensional wave maps with as the target, we show that for all positive numbers and , there exist Cauchy initial data with energy at lea…
Construction of Cauchy Data of Vacuum Einstein field equations Evolving to Black Holes
Junbin Li, Pin Yu
We show the existence of complete, asymptotically flat Cauchy initial data for the vacuum Einstein field equations, free of trapped surfaces, whose future development must admit a…
Dynamical formation of black holes due to the condensation of matter field
Pin Yu
The purpose of the paper is to understand a mechanism of evolutionary formation of trapped surfaces when there is an electromagnetic field coupled to the background space-time. Bas…