Academic Commons

Theses Doctoral

Blowup rate control for solution of Jang's equation and its application on Penrose inequality

Yu, Wenhua

We prove that the blowup term of a blowup solution of Jang's equation on an initial data set (M,g,k) near an arbitrary strictly stable MOTS Σ is exactly −1/√λlog τ, where τ is the distance from Σ and λ is the principal eigenvalue of the MOTS stability operator of Σ. We also prove that the gradient of the solution is of order τ^(-1). Moreover, we apply these results to get a Penrose-like inequality under additional assumptions.

Files

  • thumnail for Yu_columbia_0054D_15162.pdf Yu_columbia_0054D_15162.pdf application/pdf 355 KB Download File

More About This Work

Academic Units
Mathematics
Thesis Advisors
Wang, Mu-Tao
Degree
Ph.D., Columbia University
Published Here
April 12, 2019
Academic Commons provides global access to research and scholarship produced at Columbia University, Barnard College, Teachers College, Union Theological Seminary and Jewish Theological Seminary. Academic Commons is managed by the Columbia University Libraries.