33 citations · 55 across the 5 of their papers we have counts for
8 papers · 1 filter
Long-time decay estimates for the Schrödinger equation on manifolds
Igor Rodnianski, Terence Tao
In this paper we develop a quantitative version of Enss' method to establish global-in-time decay estimates for solutions to Schrödinger equations on manifolds. To simplify the exp…
Angular Regularity and Strichartz Estimates for the Wave Equation
Jacob Sterbenz, Igor Rodnianski
We prove here essentially sharp linear and bilinear Strichartz type estimates for the wave equations on Minkowski space, where we assume the initial data possesses additional regul…
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…
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…
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…