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- Peter Hintz
- 2014

We establish the small data solvability of suitable quasilinear wave and Klein-Gordon equations in high regularity spaces on a geometric class of spacetimes including asymptotically de Sitter spaces.â€¦ (More)

- Peter Hintz, AndrÃ¡s Vasy
- 2013

In this paper we prove semiclassical resolvent estimates for operators with normally hyperbolic trapping which are lossless relative to nontrapping estimates but take place in weaker function spaces.â€¦ (More)

- Peter Hintz
- 2015

In recent joint work with AndrÃ¡s Vasy [28], we analyze the low energy behavior of differential form-valued waves on black hole spacetimes. In order to deduce asymptotics and decay from this, one inâ€¦ (More)

- Vitor Cardoso, JoÃ£o Lopes Costa, Kyriakos Destounis, Peter Hintz, Aron Jansen
- Physical review letters
- 2018

The fate of Cauchy horizons, such as those found inside charged black holes, is intrinsically connected to the decay of small perturbations exterior to the event horizon. As such, the validity of theâ€¦ (More)

- Peter Hintz
- 2015

We show that linear scalar waves are bounded and continuous up to the Cauchy horizon of Reissnerâ€“NordstrÃ¶mâ€“de Sitter and Kerrâ€“de Sitter spacetimes, and in fact decay exponentially fast to a constantâ€¦ (More)

- Peter Hintz
- 2015

Adapting and extending the techniques developed in recent work with Vasy for the study of the Cauchy horizon of cosmological spacetimes, we obtain boundedness, regularity and decay of linear scalarâ€¦ (More)

- Peter Hintz, M. Zworski
- 2017

We consider scattering by star-shaped obstacles in hyperbolic space and show that resonances satisfy a universal bound ImÎ» â‰¤ âˆ’ 2 which is optimal in dimension 2. In odd dimensions we also show thatâ€¦ (More)

- Peter Hintz
- 2012

In this short and very elementary note, we will discuss the technique of proving estimates for solutions to certain partial differential equations using positive commutators, which is a widely usedâ€¦ (More)

On a time-oriented Lorentzian manifold (M, g) with non-empty boundary satisfying a convexity assumption, we show that the topological, differentiable, and conformal structure of suitable subsets S âŠ‚â€¦ (More)

- Peter Hintz
- 2014

Kerr-de Sitter space (Mâ—¦, g0) is a Lorentzian space-time of 1 + 3 dimensions, which solves Einsteinâ€™s equation with a cosmological constant. It models a rotating (with angular momentum a) black holeâ€¦ (More)