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math.DG2022
Static vacuum extensions with prescribed Bartnik boundary data near a general static vacuum metric
Zhongshan An, Lan-Hsuan Huang
We introduce the notions of static regular of type (I) and type (II) and show that they are sufficient conditions for local well-posedness of solving asymptotically flat, static va…
math.DG2022★ 3 cited
New asymptotically flat static vacuum metrics with near Euclidean boundary data
Zhongshan An, Lan-Hsuan Huang
In our prior work toward Bartnik's static vacuum extension conjecture for near Euclidean boundary data, we establish a sufficient condition, called static regular, and confirm larg…