5 citations · 12 across the 6 of their papers we have counts for
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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…
On time periodic solutions to the conformal cubic wave equation on the Einstein cylinder
Athanasios Chatzikaleas
We consider the conformal wave equation on the Einstein cylinder with a defocusing cubic non-linearity. Motivated by a method developed by Rostworowski-Maliborski on the existence…
On the Fourier analysis of the Einstein-Klein-Gordon system: Growth and Decay of the Fourier constants
Athanasios Chatzikaleas
We consider the -dimensional Einstein equations with negative cosmological constant coupled to a spherically-symmetric, massless scalar field and study perturbations aroun…
Stable blowup for the cubic wave equation in higher dimensions
Athanasios Chatzikaleas, Roland Donninger
We consider the wave equation with a focusing cubic nonlinearity in higher odd space dimensions without symmetry restrictions on the data. We prove that there exists an open set of…
On blowup of co-rotational wave maps in odd space dimensions
Athanasios Chatzikaleas, Roland Donninger, Irfan Glogić
We consider co-rotational wave maps from the -dimensional Minkowski space into the -sphere for odd. This is an energy-supercritical model which is known to exhi…