广义Jang方程解的存在性和爆破行为
Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation
摘要：
引入广义Jang方程，试图证明爱因斯坦方程在一般初值条件下的Penrose不等式.在本文中，我们给出了广泛的研究，证明存在性，正则性，爆破结果。特别地，给出了爆破行为的精确渐近性，并证明了爆破解不是唯一的。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
