69 citations · 203 across the 15 of their papers we have counts for
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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★ 2 cited
Dispersive analysis of the charge transfer models
I. Rodnianski, W. Schlag, A. Soffer
We prove the dispersive estimates for charge transfer Hamiltonians, including the matrix non-selfadjoint generalizations. The charge transfer models appear naturally in the study o…
math.AP2003
Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions
Igor Rodnianski, Terence Tao
We show that in dimensions that one has global regularity for the Maxwell-Klein-Gordon equations in the Coulomb gauge provided that the critical Sobolev norm $\dot H^{n/…