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math.AP2020★ 5 cited
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…
math.AP2020
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…