Showing items with similar title or keywords.

• Exponential instability in the fractional Calderón problem 

  Rüland, Angkana; Salo, Mikko (Institute of Physics, 2018)

  In this paper we prove the exponential instability of the fractional Calderón problem and thus prove the optimality of the logarithmic stability estimate from Rüland and Salo (2017 arXiv:1708.06294). In order to infer this ...

• Tensor tomography: Progress and challenges 

  Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther (Springer, 2014)

  We survey recent progress in the problem of recovering a tensor field from its integrals along geodesics. We also propose several open problems.

• Quantitative Runge Approximation and Inverse Problems 

  Rüland, Angkana; Salo, Mikko (Oxford University Press, 2019)

  In this short note, we provide a quantitative version of the classical Runge approximation property for second-order elliptic operators. This relies on quantitative unique continuation results and duality arguments. We ...

• Kinemaattinen inversio-ongelma pallosymmetrisellä monistolla 

  Mönkkönen, Keijo (2017)

  Tutkielman pääaiheena on maanjäristysaaltoihin ja Maan sisärakenteen tutkimiseen liittyvä käänteinen kinemaattinen ongelma. Maapalloa mallinnetaan kolmiulotteisella kompaktilla reunallisella monistolla \(\bar{B}^3(0, R)\), ...

• Tensor tomography in periodic slabs 

  Ilmavirta, Joonas; Uhlmann, Gunther (Academic Press, 2018)

  The X-ray transform on the periodic slab [0, 1]×Tn, n ≥ 0, has a non-trivial kernel due to the symmetry of the manifold and presence of trapped geodesics. For tensor fields gauge freedom increases the kernel further, and ...