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• Inverse problems for elliptic equations with fractional power type nonlinearities 

  Liimatainen, Tony; Lin, Yi-Hsuan; Salo, Mikko; Tyni, Teemu (Elsevier, 2022)

  We study inverse problems for semilinear elliptic equations with fractional power type nonlinearities. Our arguments are based on the higher order linearization method, which helps us to solve inverse problems for certain ...

• Increasing stability in the linearized inverse Schrödinger potential problem with power type nonlinearities 

  Lu, Shuai; Salo, Mikko; Xu, Boxi (IOP Publishing, 2022)

  We consider increasing stability in the inverse Schrödinger potential problem with power type nonlinearities at a large wavenumber. Two linearization approaches, with respect to small boundary data and small potential ...

• On some partial data Calderón type problems with mixed boundary conditions 

  Covi, Giovanni; Rüland, Angkana (Elsevier, 2021)

  In this article we consider the simultaneous recovery of bulk and boundary potentials in (degenerate) elliptic equations modelling (degenerate) conducting media with inaccessible boundaries. This connects local and nonlocal ...

• Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations 

  Lassas, Matti; Liimatainen, Tony; Lin, Yi-Hsuan; Salo, Mikko (European Mathematical Society Publishing House, 2021)

  We study various partial data inverse boundary value problems for the semilinear elliptic equation Δu + a(x, u) = 0 in a domain in Rn by using the higher order linearization technique introduced by Lassas– Liimatainen–Lin–Salo ...

• Inverse problems for elliptic equations with power type nonlinearities 

  Lassas, Matti; Liimatainen, Tony; Lin, Yi-Hsuan; Salo, Mikko (Elsevier, 2021)

  We introduce a method for solving Calderón type inverse problems for semilinear equations with power type nonlinearities. The method is based on higher order linearizations, and it allows one to solve inverse problems for ...