Entire spacelike hypersurfaces of prescribed scalar curvature in Minkowski space

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• 作者：Pierre Bayard
• 刊名：Calculus of Variations and Partial Differential Equations
• 出版年：2006
• 出版时间：April 2006
• 年：2006
• 卷：26
• 期：2
• 页码：245-264
• 全文大小：353 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Systems Theory and Control
  Calculus of Variations and Optimal Control
  Mathematical and Computational Physics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0835

文摘

We prove existence and uniqueness of entire spacelike hypersurfaces in the Minkowski space with prescribed negative scalar curvature, and with given values at infinity which stay at a bounded distance of a lightcone.