315 citations · 1.1k across the 35 of their papers we have counts for
6 papers · 1 filter
Mode stability and shallow quasinormal modes of Kerr-de Sitter black holes away from extremality
Peter Hintz
A Kerr-de Sitter black hole is a solution of the Einstein vacuum equations with cosmological constant . It describes a black hole with ma…
Elliptic parametrices in the 0-calculus of Mazzeo and Melrose
Peter Hintz
The purpose of this note is to spell out the details of the construction of parametrices for fully elliptic uniformly degenerate pseudodifferential operators on manifolds with…
Quasinormal modes of small Schwarzschild-de Sitter black holes
Peter Hintz, YuQing Xie
We study the behavior of the quasinormal modes (QNMs) of massless and massive linear waves on Schwarzschild-de Sitter black holes as the black hole mass tends to 0. Via uniform est…
Quasinormal modes and dual resonant states on de Sitter space
Peter Hintz, YuQing Xie
The existence of quasinormal modes (QNMs) for waves propagating on pure de Sitter space has been called into question in several works. We definitively prove the existence of quasi…
The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds
Peter Hintz, Gunther Uhlmann, Jian Zhai
We consider the semilinear wave equation , , on a Lorentzian manifold with timelike boundary. We show that from the knowledge of the Dirichlet-to…
Semiclassical propagation through cone points
Peter Hintz
We introduce a general framework for the study of the diffraction of waves by cone points at high frequencies. We prove that semiclassical regularity propagates through cone points…