5 citations · 12 across the 6 of their papers we have counts for
8 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…
A gauge-invariant unique continuation criterion for waves in asymptotically Anti-de Sitter spacetimes
Athanasios Chatzikaleas, Arick Shao
We reconsider the unique continuation property for a general class of tensorial Klein-Gordon equations of the form \begin{align*} \Box_{g} ϕ+ σϕ= \mathcal{G}(ϕ,\nabla ϕ) \text{,} \…
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…