We show that Nachman's integral equations for the Calderón problem, derived for conductivities in W2,p(ω), still hold for L∝ conductivities which are 1 in a neighborhood of the boundary. We also prove convergence of scattering transforms for smooth approximations to the scattering transform of L∝ conductivities. We rely on Astala-Päivärinta's formulation of the Calderón problem for a framework in which these convergence results make sense.
|State||Published - 2020|
Bibliographical notePublisher Copyright:
© 2020 IOP Publishing Ltd.
- Calderón problem
- complex geometric optics solutions
- conductivity equation
- electrical impedance tomography
- nonlinear Fourier transform
ASJC Scopus subject areas
- Theoretical Computer Science
- Signal Processing
- Mathematical Physics
- Computer Science Applications
- Applied Mathematics