Athanasios Chatzikaleas

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math.AP2025

Null coordinates for quasi-periodic $(1 + 1)$ -dimensional wave operators on the circle with applications to reducibility

Athanasios Chatzikaleas, Jacques Smulevici

Given any wave operator with principle part $\partial_{t}^{2} - \partial_{x}^{2} + B^{xx} (ω t, x) \partial_{x}^{2}$ , where $B^{xx} : T^{ν + 1} \to R$ …

math.AP2020

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…

Null coordinates for quasi-periodic (1+1)-dimensional wave operators on the circle with applications to reducibility

On time periodic solutions to the conformal cubic wave equation on the Einstein cylinder

Null coordinates for quasi-periodic $(1 + 1)$ -dimensional wave operators on the circle with applications to reducibility