Global existence of null-form wave equations on small asymptotically euclidean manifolds

TL;DR: In this article, an alternative proof of Alinhac's almost global existence result for the Cauchy problem of quasilinear wave equations with quadratic nonlinearity satisfying the null condition in 2D was given.

TL;DR: In this article, the radial Glassey conjecture exterior to a ball is also verified for dimension three or higher, where the metric g is asymptotically Euclidean, provided that certain local energy assumption is satisfied.

TL;DR: In this paper, the two-dimensional quasilinear wave equations with standard null-form type quadratic nonlinearities were considered and proved global wellposedness without using the Lorentz boost vector fields.

TL;DR: In this paper , it was shown that any regular future geodesically complete, asymptotically flat solution to the Einstein-scalar field system which approaches the Minkowski spacetime sufficiently fast for large times is future globally nonlinearly stable.

TL;DR: In this paper, le comportement asymptotique des solutions de □u=0 ou □=∂ t 2 −∂ 1 2...−∂ n 2 pour des conditions initiales u=0, u t =g(x) en t=0.

TL;DR: In this paper, a systemes quasilineaires d'equations hyperboliques d'ordre 2 qui sont des deformations non lineaires de l'equation d'onde.

TL;DR: In this article, Christodoulou and Klainerman this article proved global stability of Minkowski space for the Einstein vacuum equations in harmonic coordinate gauge for the set of restricted data coinciding with the Schwarzschild solution in the neighborhood of space-like infinity.

TL;DR: In this article, the authors consider equations of the form ============\/\/\/\/\/\/£££ £ £££€££/$££$£ £€£ ££ £/$£ £$££