Showing items with similar title or keywords.

• 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 ...

• Determining a Random Schrödinger Operator : Both Potential and Source are Random 

  Li, Jingzhi; Liu, Hongyu; Ma, Shiqi (Springer, 2021)

  We study an inverse scattering problem associated with a Schrödinger system where both the potential and source terms are random and unknown. The well-posedness of the forward scattering problem is first established in a ...

• 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 \(\bar{B}^3(0, R)\), ...

• Recovering a Variable Exponent 

  Brander, Tommi; Siltakoski, Jarkko (Fakultät für Mathematik, Universität Bielefeld, 2021)

  We consider an inverse problem of recovering the non-linearity in the one dimensional variable exponent p(x)-Laplace equation from the Dirichlet-to-Neumann map. The variable exponent can be recovered up to the natural ...

• Refined instability estimates for some inverse problems 

  Kow, Pu-Zhao; Wang, Jenn-Nan (American Institute of Mathematical Sciences (AIMS), 2022)

  Many inverse problems are known to be ill-posed. The ill-posedness can be manifested by an instability estimate of exponential type, first derived by Mandache [29]. In this work, based on Mandache's idea, we refine the ...