Showing items with similar title or keywords.

• Partial Data Problems and Unique Continuation in Scalar and Vector Field Tomography 

  Ilmavirta, Joonas; Mönkkönen, Keijo (Birkhäuser, 2022)

  We prove that if P(D) is some constant coefficient partial differential operator and f is a scalar field such that P(D)f vanishes in a given open set, then the integrals of f over all lines intersecting that open set ...

• Feasibility of acousto-electric tomography 

  Jensen, Bjørn; Kirkeby, Adrian; Knudsen, Kim (IOP Publishing, 2024)

  In acousto-electric tomography (AET) the goal is to reconstruct the electric conductivity in a domain from electrostatic boundary measurements of corresponding currents and voltages, while the domain is perturbed by a ...

• X-ray Tomography of One-forms with Partial Data 

  Ilmavirta, Joonas; Mönkkönen, Keijo (Society for Industrial & Applied Mathematics (SIAM), 2021)

  If the integrals of a one-form over all lines meeting a small open set vanish and the form is closed in this set, then the one-form is exact in the whole Euclidean space. We obtain a unique continuation result for the ...

• Pestov identities and X-ray tomography on manifolds of low regularity 

  Ilmavirta, Joonas; Kykkänen, Antti (American Institute of Mathematical Sciences (AIMS), 2023)

  We prove that the geodesic X-ray transform is injective on scalar functions and (solenoidally) on one-forms on simple Riemannian manifolds (M, g) with g ∈ C1,1. In addition to a proof, we produce a redefinition of simplicity ...

• Pestov identities and X-ray tomography on manifolds of low regularity 

  Ilmavirta, Joonas; Kykkänen, Antti (American Institute of Mathematical Sciences (AIMS), 2023)

  We prove that the geodesic X-ray transform is injective on scalar functions and (solenoidally) on one-forms on simple Riemannian manifolds (M, g) with g ∈ C1,1. In addition to a proof, we produce a redefinition of simplicity ...