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• Optimal recovery of a radiating source with multiple frequencies along one line 

  Brander, Tommi; Ilmavirta, Joonas; Piiroinen, Petteri; Tyni, Teemu (American Institute of Mathematical Sciences (AIMS), 2020)

  We study an inverse problem where an unknown radiating source is observed with collimated detectors along a single line and the medium has a known attenuation. The research is motivated by applications in SPECT and beam ...

• 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 ...

• Spherically Symmetric Terrestrial Planets with Discontinuities Are Spectrally Rigid 

  Ilmavirta, Joonas; de Hoop, Maarten V.; Katsnelson, Vitaly (Springer, 2024)

  We establish spectral rigidity for spherically symmetric manifolds with boundary and interior interfaces determined by discontinuities in the metric under certain conditions. Rather than a single metric, we allow two ...

• Determining a Random Schrödinger Operator : Both Potential and Source are Random 

  Li, Jingzhi; Liu, Hongyu; Ma, Shiqi (Springer, 2021)

  We study an inverse scattering problem associated with a Schrödinger system where both the potential and source terms are random and unknown. The well-posedness of the forward scattering problem is first established in a ...

• Recovering a Variable Exponent 

  Brander, Tommi; Siltakoski, Jarkko (Fakultät für Mathematik, Universität Bielefeld, 2021)

  We consider an inverse problem of recovering the non-linearity in the one dimensional variable exponent p(x)-Laplace equation from the Dirichlet-to-Neumann map. The variable exponent can be recovered up to the natural ...