69 citations · 231 across the 19 of their papers we have counts for
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math.AP2004★ 13 cited
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…
gr-qc2004★ 7 cited
A note on boundary value problems for black hole evolutions
Mihalis Dafermos, Igor Rodnianski
In recent work of Allen at. al., heuristic and numerical arguments were put forth to suggest that boundary value problems for black hole evolution, where an appropriate Sommerfeld…
math.AP2004★ 33 cited
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…