152 citations · 631 across the 45 of their papers we have counts for
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math.AP2003★ 1 cited
A geometric approach to the Littlewood-Paley theory
Sergiu Klainerman, Igor Rodnianski
We develop a geometric invariant Littlewood-Paley theory for arbitrary tensors on a compact 2 dimensional manifold. We show that all the important features of the classical LP theo…
math.AP2003
Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux
Sergiu Klainerman, Igor Rodnianski
The main objective of the paper is to prove a geometric version of sharp trace and product estimates on null hypersurfaces with finite curvature flux. These estimates play a crucia…
math.AP2003★ 36 cited
Causal Geometry of Einstein-Vacuum Spacetimes with Finite Curvature Flux
Sergiu Klainerman, Igor Rodnianski
One of the central difficulties of settling the -bounded curvature conjecture for the Einstein -Vacuum equations is to be able to control the causal structure of spacetimes wi…