308 citations · 2.2k across the 72 of their papers we have counts for
5 papers · 1 filter
Time decay for solutions of Schrödinger equations with rough and time dependent potentials
I. Rodnianski, W. Schlag
We establish dispersive and Strichartz estimates for solutions to the linear time-dependent Schrödinger equations with potential in three dimensions. Our main focus is on the small…
Ricci defects of microlocalized Einstein metrics
S. Klainerman, I. Rodnianski
This is the third and last in our series of papers concerning rough solutions of the Einstein vacuum equations expressed relative to wave coordinates. In this paper we prove an imp…
The causal structure of microlocalized Einstein metrics
S. Klainerman, I. Rodnianski
This is the second in a series of three papers in which we initiate the study of very rough solutions to the initial value problem for the Einstein vacuum equations expressed relat…
Rough solution for the Einstein Vacuum equations
S. Klainerman, I. Rodnianski
This is the first in a series Of papers in which we initiate the study Of very rough solutions to the initial value problem for the Einstein Vacuum equations expressed relative to…
A physical space approach to wave equation bilinear estimates
Sergiu Klainerman, Igor Rodnianski, Terence Tao
Bilinear estimates for the wave equation in Minkowski space are normally proven using the Fourier transform and Plancherel's theorem. However, such methods are difficult to carry o…