63 citations · 352 across the 21 of their papers we have counts for
22 papers
Null coordinates for quasi-periodic -dimensional wave operators on the circle with applications to reducibility
Athanasios Chatzikaleas, Jacques Smulevici
Given any wave operator with principle part , where …
Time periodic solutions and Nekhoroshev stability to non-linear massive Klein-Gordon equations in Anti-de Sitter
Athanasios Chatzikaleas, Jacques Smulevici
We prove the existence of time-periodic solutions to non-linear massive Klein-Gordon equations in Anti-de Sitter as well as their orbital stability over exponentially long times fo…
Non-linear periodic waves on the Einstein cylinder
Athanasios Chatzikaleas, Jacques Smulevici
Motivated by the study of small amplitudes non-linear waves in the Anti-de-Sitter spacetime and in particular the conjectured existence of periodic in time solutions to the Einstei…
The initial boundary value problem in General Relativity: the umbilic case
Grigorios Fournodavlos, Jacques Smulevici
We give a short proof of local well-posedness for the initial boundary value problem in general relativity with sole boundary condition the requirement that the boundary is umbilic…
The initial boundary value problem for the Einstein equations with totally geodesic timelike boundary
Grigorios Fournodavlos, Jacques Smulevici
We prove the well-posedness of the initial boundary value problem for the Einstein equations with sole boundary condition the requirement that the timelike boundary is totally geod…
Asymptotic Stability of Minkowski Space-Time with non-compactly supported massless Vlasov matter
Léo Bigorgne, David Fajman, Jérémie Joudioux +2
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov system in wave coordinates. In contrast with previous work on the subject, no compa…