Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.

• 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 ...

• 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 ...

• 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 ...

• Unique Continuation Results for Certain Generalized Ray Transforms of Symmetric Tensor Fields 

  Agrawal, Divyansh; Krishnan, Venkateswaran P.; Sahoo, Suman Kumar (Springer Science and Business Media LLC, 2022)

  Let Im denote the Euclidean ray transform acting on compactly supported symmetric m-tensor field distributions f, and I∗m be its formal L2 adjoint. We study a unique continuation result for the operator Nm=I∗mIm. More ...

• Calderón's problem for p-laplace type equations 

  Brander, Tommi (University of Jyväskylä, 2016)

  We investigate a generalization of Calderón’s problem of recovering the conductivity coefficient in a conductivity equation from boundary measurements. As a model equation we consider the p-conductivity equation div σ ...