13 citations · 49 across the 13 of their papers we have counts for
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The linear instability of Kasner spacetimes
Oliver Petersen
We prove linear stability of Kasner spacetimes in the direction of the Big Bang, up to an explicit finite dimensional space of non-decaying self-similar solutions. The fastest grow…
Dual modes in Kerr spacetimes and the Whiting transform: Mode stability revisited
Oliver Petersen, András Vasy
The purpose of the paper is to place Whiting's classical growing mode stability argument, extended to real frequencies by Shlapentokh-Rothman for the scalar wave equation and by An…
Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes
Oliver Petersen, András Vasy
In a recent paper, we proved that solutions to linear wave equations in a subextremal Kerr-de Sitter spacetime have asymptotic expansions in quasinormal modes up to a decay order g…
Wave equations in the Kerr-de Sitter spacetime: the full subextremal range
Oliver Petersen, András Vasy
We prove that solutions to linear wave equations in a subextremal Kerr-de Sitter spacetime have asymptotic expansions in quasinormal modes up to a decay order given by the normally…
Analyticity of quasinormal modes in the Kerr and Kerr-de Sitter spacetimes
Oliver Petersen, András Vasy
We prove that quasinormal modes (or resonant states) for linear wave equations in the subextremal Kerr and Kerr-de Sitter spacetimes are real analytic. The main novelty of this pap…
Long-time estimates for heat flows on ALE manifolds
Klaus Kroencke, Oliver Lindblad Petersen
We consider the heat equation associated to Schrödinger operators acting on vector bundles on asymptotically locally Euclidean (ALE) manifolds. Novel decay estimates ar…
Extension of Killing vector fields beyond compact Cauchy horizons
Oliver Lindblad Petersen
We prove that any compact Cauchy horizon with constant non-zero surface gravity in a smooth vacuum spacetime is a smooth Killing horizon. The novelty here is that the Killing vecto…
Wave equations with initial data on compact Cauchy horizons
Oliver Lindblad Petersen
We study the following problem: Given initial data on a compact Cauchy horizon, does there exist a unique solution to wave equations on the globally hyperbolic region? Our main res…