Details

Autor(en) / Beteiligte

• Gurfinkel, Tal
• Noakes, Lyle
• Stoyanov, Luchezar

Titel

Travelling times in scattering by obstacles in curved space

Ist Teil von

• Journal of Differential Equations, 2020-11, Vol.269 (11), p.9508-9530

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

2020

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We consider travelling times of billiard trajectories in the exterior of an obstacle K on a two-dimensional Riemannian manifold M. We prove that given two obstacles with almost the same travelling times, the generalised geodesic flows on the non-trapping parts of their respective phase-spaces will have a time-preserving conjugacy. Moreover, if M has non-positive sectional curvature, we prove that if K and L are two obstacles with strictly convex boundaries and almost the same travelling times then K and L are identical.