Inverse source problems in transport equations with external forces

DOI10.1016/J.JDE.2021.09.011zbMath1483.35174arXiv2104.11851OpenAlexW3201134330MaRDI QIDQ2232201

Ru-Yu Lai, Hanming Zhou

Publication date: 4 October 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11851

zbMATH Keywords

transport equationsinverse source problemsattenuated X-ray transformSantalo's formula

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Radon transform (44A12) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Integral geometry (53C65) Fredholm integral equations (45B05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Transport equations (35Q49)

Cites Work

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• Boundary and scattering rigidity problems in the presence of a magnetic field and a potential
• Two-dimensional tomography problems and the theory of \(A\)-analytic functions
• The inverse problem of determining a source in the stationary transport equation for a Hamiltonian system
• An inversion formula for the attenuated \(X\)-ray transformation
• Efficient tensor tomography in fan-beam coordinates. II: Attenuated transforms
• Novikov's inversion formula for the attenuated Radon transform -- a new approach
• An inverse problem of determining a source in the stationary transport equation for a medium with refraction
• The inverse problem of determining the source in the stationary transport equation on a Riemannian manifold
• An inverse source problem in optical molecular imaging
• The boundary rigidity problem in the presence of a magnetic field
• The inverse problem for the local geodesic ray transform
• Inversion of the attenuated Radon transform
• Generic injectivity and stability of inverse problems for connections
• Parameter Reconstruction for General Transport Equation
• The geodesic X-ray transform with matrix weights
• A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium
• Boundary rigidity and stability for generic simple metrics
• Global Lipschitz stability in determining coefficients of the radiative transport equation
• Inverse Source Problems in Transport Equations
• Stability for Some Inverse Problems for Transport Equations

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