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  • Journées équations aux dérivées partielles
  • Year 2002
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Regularity and geometric properties of solutions of the Einstein-Vacuum equations
Sergiu Klainerman; Igor Rodnianski
Journées équations aux dérivées partielles (2002), article no. 15, 14 p.
  • Abstract

We review recent results concerning the study of rough solutions to the initial value problem for the Einstein vacuum equations expressed relative to wave coordinates. We develop new analytic methods based on Strichartz type inequalities which results in a gain of half a derivative relative to the classical result. Our methods blend paradifferential techniques with a geometric approach to the derivation of decay estimates. The latter allows us to take full advantage of the specific structure of the Einstein equations.

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MR
DOI: 10.5802/jedp.613
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     author = {Sergiu Klainerman and Igor Rodnianski},
     title = {Regularity and geometric properties of solutions of the {Einstein-Vacuum} equations},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {15},
     pages = {1--14},
     publisher = {Universit\'e de Nantes},
     year = {2002},
     doi = {10.5802/jedp.613},
     mrnumber = {1968211},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.613/}
}
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Sergiu Klainerman; Igor Rodnianski. Regularity and geometric properties of solutions of the Einstein-Vacuum equations. Journées équations aux dérivées partielles (2002), article  no. 15, 14 p. doi : 10.5802/jedp.613. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.613/
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