Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux

Geometric and Functional Analysis

Volumn 16, Issue 1, 2006, Pages 164-229

  Klainerman, S ^a   Rodnianski, I ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

Littlewood Paley theory; Null hypersurfaces; Sobolev trace inequalities

Indexed keywords

EID: 33646475001     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-006-0557-8     Document Type: Article

References (8)

1. [B] J.M. BONY, Calcul symbolique et propagation des singularité pour les equations aux dérivées partielles nonlinéares, Ann. Sci. École Norm. Sup. 14 (1981), 209-256.
2. [CK] D. CHRISTODOULOU, S. KLAINERMAN, The Global Nonlinear Stability of the Minkowski Space, Princeton Mathematical Series 41, Princeton University Press, 1993.
3. [K] S. KLAINERMAN, PDE as a unified subject, Special Volume GAFA2000, Geom. funct, anal. (2000), 279-315.
4. [KN] S. KLAINERMAN, F. NICOLO, The Evolution Problem in General Relativity, Progress in Mathematical Physics 25, Birkhäuser (2003).
5. [KR1] S. KLAINERMAN, I RODNIANSKI, Causal geometry of Einstein-vacuum spacetimes with finite curvature flux, Invent. Math. 159:3 (2005), 437-529.
6. [KR2] S. KLAINERMAN, I. RODNIANSKI, A geometric version of Littlewood-Paley theory, GAFA, Geom. funct. anal., in this issue.
7. [S1] E. STEIN, Harmonic Analysis, Princeton University Press, 1993.
8. [S2] E. STEIN, Topics in Harmonic Analysis Related to Littlewood-Paley Theory, Annals of Mathematical Studies. Princeton University Press 63 (1970)