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.

Wang Yi. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 61-63). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.4 / Chapter 2 --- Some Preparations --- p.10 / Chapter 3 --- Proof of Theorem 1.1 --- p.24 / Chapter 4 --- Location of Blow-up Points (for n=2) --- p.26 / Chapter 5 --- Location of Blow-up Points (for General n) --- p.35 / Chapter 6 --- Asymptotic behavior of solutions near blow-up point --- p.46 / Chapter 7 --- Appendix --- p.57 / Bibliography --- p.61

Thesis (Ph.D.)--University of Nebraska-Lincoln, 2007. / Title from title screen (site viewed Oct. 10, 2007). PDF text: 115 p. : ill. UMI publication number: AAT 3260512. Includes bibliographical references. Also available in microfilm and microfiche formats.