Generic injectivity and stability of inverse problems for connections

DOI10.1080/03605302.2017.1295061zbMath1380.53090arXiv1610.02185OpenAlexW2530070428MaRDI QIDQ4588985

Hanming Zhou

Publication date: 6 November 2017

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02185

zbMATH Keywords

inverse problemparallel transportconnectionmicrolocal analysisattenuated ray transform

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Inverse problems for PDEs (35R30) Radon transform (44A12) Integral geometry (53C65)

Related Items (8)

Efficient tensor tomography in fan-beam coordinates. II: Attenuated transforms ⋮ The geodesic X-ray transform with a \(\mathrm{GL}(n,\mathbb{C})\)-connection ⋮ Carleman estimates for geodesic X-ray transforms ⋮ Inverse source problems in transport equations with external forces ⋮ Unique determination for an inverse problem from the vortex dynamics ⋮ Travel time tomography in stationary spacetimes ⋮ The attenuated geodesic ray transform on tensors: generic injectivity and stability ⋮ Travel time tomography

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