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• The Linearized Calderón Problem on Complex Manifolds 

  Guillarmou, Colin; Salo, Mikko; Tzou, Leo (Springer, 2019)

  In this note we show that on any compact subdomain of a K¨ahler manifold that admits sufficiently many global holomorphic functions, the products of harmonic functions form a complete set. This gives a positive answer to ...

• On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems 

  Matculevich, Svetlana; Wolfmayr, Monika (Elsevier, 2018)

  This work is aimed at the derivation of reliable and efficient a posteriori error estimates for convection-dominated diffusion problems motivated by a linear Fokker–Planck problem appearing in computational neuroscience. ...

• The higher order fractional Calderón problem for linear local operators : Uniqueness 

  Covi, Giovanni; Mönkkönen, Keijo; Railo, Jesse; Uhlmann, Gunther (Elsevier, 2022)

  We study an inverse problem for the fractional Schrödinger equation (FSE) with a local perturbation by a linear partial differential operator (PDO) of order smaller than the one of the fractional Laplacian. We show that ...

• Linearized Calderón problem and exponentially accurate quasimodes for analytic manifolds 

  Krupchyk, Katya; Liimatainen, Tony; Salo, Mikko (Elsevier Inc., 2022)

  In this article we study the linearized anisotropic Calderón problem on a compact Riemannian manifold with boundary. This problem amounts to showing that products of pairs of harmonic functions of the manifold form a ...

• Uniqueness, reconstruction and stability for an inverse problem of a semi-linear wave equation 

  Lassas, Matti; Liimatainen, Tony; Potenciano-Machado, Leyter; Tyni, Teemu (Elsevier, 2022)

  We consider the recovery of a potential associated with a semi-linear wave equation on Rn+1, n≥1. We show that an unknown potential a(x,t) of the wave equation □u+aum=0 can be recovered in a Hölder stable way from the map ...