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math.AP2026
Moving localized observations and Ces{à}ro asymptotic observability for conservative PDEs
Maarten V. de Hoop, Antti Kykkänen, Emmanuel Trélat
We develop a deterministic large-time mechanism yielding Ces{à}ro asymptotic observability inequalities from moving localized observations for conservative evolutions. On each obse…
math.AP2023
Microlocal analysis of the X-ray transform in non-smooth geometry
Joonas Ilmavirta, Antti Kykkänen, Kelvin Lam
We prove that the geodesic X-ray transform is injective on when the Riemannian metric is simple but the metric tensor is only finitely differentiable. The number of derivativ…