Local existence of classical solutions for the Einstein-Euler system using weighted Sobolev spaces of fractional order

Comptes Rendus Mathematique

Volumn 345, Issue 1, 2007, Pages 49-54

  Brauer, Uwe ^a   Karp, Lavi ^b  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b ORT BRAUDE COLLEGE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34447290241     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2007.05.015     Document Type: Article

References (8)

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2. U. Brauer, L. Karp, Weighted Sobolev spaces of fractional order: properties and applications to elliptic, hyperbolic and Einstein's equations, in preparation
3. Gamblin P. Solution réguliére á temps petit por l'équation d'Euler-Poisson. Comm. Partial Differential Equations 18 5 & 6 (1993) 731-745
4. μ, μ > 1 on Besov spaces. Math. Nachr. 248 249 (2003) 110-128
5. Maxwell D. Rough solutions of the Einstein constraint equations. J. Reine Angew. Math. 590 (2006) 1-29
6. n. J. Math. Anal. Appl. 42 (1973) 271-301
7. Rendall A.D. The initial value problem for a class of general relativistic fluid bodies. J. Math. Phys. 33 2 (1992) 1047-1053
8. Triebel H. Interpolation Theory, Function Spaces, Differential Operators (1995), Johann Ambrosis Barth