Inverting the local geodesic X-ray transform on tensors
نویسندگان
چکیده
منابع مشابه
Inverting the Local Geodesic X-ray Transform on Tensors
We prove the local invertibility, up to potential fields, and stability of the geodesic X-ray transform on tensor fields of order 1 and 2 near a strictly convex boundary point, on manifolds with boundary of dimension n ≥ 3. We also present an inversion formula. Under the condition that the manifold can be foliated with a continuous family of strictly convex surfaces, we prove a global result wh...
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ژورنال
عنوان ژورنال: Journal d'Analyse Mathématique
سال: 2018
ISSN: 0021-7670,1565-8538
DOI: 10.1007/s11854-018-0058-3