Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation

被引：15
|
作者：
Han, Qing [1 ,2 ]
Khuri, Marcus [3 ]
机构：
[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA
[2] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China
[3] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 38卷 / 12期
基金：
美国国家科学基金会;
关键词：
Blow-up solutions; Generalized Jang equation; Penrose inequality; PROOF; TOPOLOGY; ENERGY;
D O I：
10.1080/03605302.2013.837919
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The generalized Jang equation was introduced in an attempt to prove the Penrose inequality in the setting of general initial data for the Einstein equations. In this paper we give an extensive study of this equation, proving existence, regularity, and blow-up results. In particular, precise asymptotics for the blow-up behavior are given, and it is shown that blow-up solutions are not unique.
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页码：2199 / 2237
页数：39
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