315 citations · 316 across the 5 of their papers we have counts for
10 papers
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…
Resolvents and complex powers of semiclassical cone operators
Peter Hintz
We give a uniform description of resolvents and complex powers of elliptic semiclassical cone differential operators as the semiclassical parameter tends to . An example of…
An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds
Peter Hintz, Gunther Uhlmann, Jian Zhai
We consider an inverse boundary value problem for a semilinear wave equation on a time-dependent Lorentzian manifold with time-like boundary. The time-dependent coefficients of the…
Black hole gluing in de Sitter space
Peter Hintz
We construct dynamical many-black-hole spacetimes with well-controlled asymptotic behavior as solutions of the Einstein vacuum equation with positive cosmological constant. We acco…
Linear stability of slowly rotating Kerr black holes
Dietrich Häfner, Peter Hintz, András Vasy
We prove the linear stability of slowly rotating Kerr black holes as solutions of the Einstein vacuum equation: linearized perturbations of a Kerr metric decay at an inverse polyno…
Normally hyperbolic trapping on asymptotically stationary spacetimes
Peter Hintz
We prove microlocal estimates at the trapped set of asymptotically Kerr spacetimes: these are spacetimes whose metrics decay inverse polynomially in time to a stationary subextrema…