This review is devoted to the study of stationary solutions of linear and nonlinear equations
from relativistic quantum mechanics, involving the Dirac operator. The solutions are found as …

I review evolutionary aspects of general relativity, in particular those related to the hyperbolic
character of the field equations and to the applications or consequences that this property …

Christodoulou, D.; Klainerman, S. The global nonlinear stability of the Minkowski space.
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi" Séminaire Goulaouic …

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 …

The Sobolev inequality is one of the fundamental inequalities connecting analysis and
geometry. The literature related to it is vast (see, for example,[1],[5],[7],[3],[6],[11],[12],[19],[22] …

Untitled Page 1 Page 2 Annals of Mathematics Studies Number 210 Page 3 Page 4 Global
Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations Sergiu Klainerman …

The main goal of this work is to revisit the proof of the global stability of Minkowski space by
D. Christodoulou and S. Klainerman,[Ch-KI]. We provide a new self-contained proof of the …

In this article we study the pointwise decay properties of solutions to the wave equation on a
class of stationary asymptotically flat backgrounds in three space dimensions. Under the …

In this article, we study the pointwise decay properties of solutions to the wave equation on a
class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the …

Abstract The Hyperboloidal Foliation Method (introduced by the authors in 2014) is
extended here and applied to the Einstein equations of general relativity. Specifically, we …