3 papers
gr-qc2025
Well-posed geometric boundary data in General Relativity, II: twisted Dirichlet boundary data
Zhongshan An, Michael T. Anderson
In this second work in a series, we prove the local-in-time well-posedness of the IBVP for the vacuum Einstein equations in general relativity with twisted Dirichlet boundary condi…
math.AP2025
Well-posed geometric boundary data in General Relativity, I: Dirichlet boundary data
Zhongshan An, Michael T. Anderson
In this first work in a series, we prove the local-in-time well-posedness of the IBVP for the vacuum Einstein equations with Dirichlet boundary data on a finite timelike boundary,…
math.AP2025
Well-posed geometric boundary data in General Relativity, III: Conformal-mean curvature boundary data
Zhongshan An, Michael T. Anderson
This is the third work in a series on the (local in time) well-posedness of the initial boundary value problem (IBVP) for the vacuum Einstein equations in general relativity with g…