Geodesic
The causal structure of microlocalized rough Einstein metrics
Sergiu Klainerman1 ; Igor Rodnianski2
1 Department of Mathematics, Princeton University, Princeton, NJ 08544, United States
2 Department of Mathematics, Princeton University, Princeton, NJ 08544, United States
Annals of mathematics, Tome 161 (2005) no. 3, pp. 1195-1243.

Voir la notice de l'article provenant de la source Annals of Mathematics website

This is the second in a series of three papers in which we initiate the study of very rough solutions to the initial value problem for the Einstein vacuum equations expressed relative to wave coordinates. By very rough we mean solutions which cannot be constructed by the classical techniques of energy estimates and Sobolev inequalities. In this paper we develop the geometric analysis of the Eikonal equation for microlocalized rough Einstein metrics. This is a crucial step in the derivation of the decay estimates needed in the first paper.
DOI : 10.4007/annals.2005.161.1195

Sergiu Klainerman 1 ; Igor Rodnianski 2

1 Department of Mathematics, Princeton University, Princeton, NJ 08544, United States
2 Department of Mathematics, Princeton University, Princeton, NJ 08544, United States 
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Sergiu Klainerman; Igor Rodnianski. The causal structure of microlocalized rough Einstein metrics. Annals of mathematics, Tome 161 (2005) no. 3, pp. 1195-1243. doi : 10.4007/annals.2005.161.1195. http://geodesic.mathdoc.fr/articles/10.4007/annals.2005.161.1195/

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