Partial differential equations are a many-faceted subject. Created to describe the
mechanical behavior of objects such as vibrating strings and blowing winds, it has …

This paper is the fourth in a series dedicated to the mathematically rigorous asymptotic
analysis of gravitational radiation under astrophysically realistic set-ups. It provides an …

We prove the non-linear asymptotic stability of the Schwarzschild family as solutions to the
Einstein vacuum equations in the exterior of the black hole region: general vacuum initial …

The asymptotic behaviour of massless spin-0 fields close to spatial and null infinity in
Minkowski space–time is studied by means of Friedrich's cylinder at spatial infinity. The …

This is the last part of our proof of the nonlinear stability of the Kerr family for small angular
momentum, ie $| a|/m\ll 1$, in which we deal with the nonlinear wave type estimates needed …

We prove Price's law with an explicit leading order term for solutions ϕ (t, x) of the scalar
wave equation on a class of stationary asymptotically flat (3+ 1)-dimensional spacetimes …

We prove the linear stability of slowly rotating Kerr black holes as solutions of the Einstein
vacuum equations: linearized perturbations of a Kerr metric decay at an inverse polynomial …

This paper is the first of a series regarding the Teukolsky equation of spin $\pm 1$ and spin
$\pm 2$ on Kerr backgrounds in the full subextremal range of parameters $| a|< M $. In the …

A definitive proof of global nonlinear stability of Minkowski space-time as a solution of the
Einstein-Klein-Gordon equations This book provides a definitive proof of global nonlinear …

This paper concludes the study, initiated by the authors in arxiv: 2007.07211, of the
Teukolsky equation of spin $\pm 1$ and spin $\pm 2$ on Kerr backgrounds in the full …