Blowup rate control for solution of Jang's equation and its application on Penrose inequality
By: Wenhua Yu
Publisher: [publisher not identified]
Published: 2019
Place of publication: [New York, N.Y.?]
Language: eng
Description: 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.
Notes: Department: Mathematics.

Thesis advisor: Mu-Tao Wang.

Thesis (Ph.D.)--Columbia University, 2019.