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• Fixed domain approaches in shape optimization problems with Dirichlet boundary conditions 

  Neittaanmäki, Pekka; Pennanen, Anssi; Tiba, Dan (IOP Publishing, 2009)

  Fixed domain methods have well-known advantages in the solution of variable domain problems including inverse interface problems. This paper examines two new control approaches to optimal design problems governed by general ...

• 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 ...

• The Calderón problem for the fractional Schrödinger equation 

  Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther (Mathematical Sciences Publishers, 2020)

  We show global uniqueness in an inverse problem for the fractional Schrödinger equation: an unknown potential in a bounded domain is uniquely determined by exterior measurements of solutions. We also show global uniqueness ...

• An inverse problem for the fractional Schrödinger equation in a magnetic field 

  Covi, Giovanni (Institute of Physics, 2020)

  This paper shows global uniqueness in an inverse problem for a fractional magnetic Schrödinger equation (FMSE): an unknown electromagnetic field in a bounded domain is uniquely determined up to a natural gauge by infinitely ...

• The Calderón problem for the fractional Schrödinger equation with drift 

  Cekić, Mihajlo; Lin, Yi-Hsuan; Rüland, Angkana (Springer, 2020)

  We investigate the Calderón problem for the fractional Schrödinger equation with drift, proving that the unknown drift and potential in a bounded domain can be determined simultaneously and uniquely by an infinite number ...