2 papers
math.AP2008
Uniqueness and Non-uniqueness in inverse radiative transfer
Plamen Stefanov, Alexandru Tamasan
We characterize the non-uniqueness in the inverse problem for the stationary transport model, in which the absorption "a" and the scattering coefficient "k" are to be recovered fro…
math.FA2008
Linearizing non-linear inverse problems and an application to inverse backscattering
Plamen Stefanov, Gunther Uhlmann
We propose an abstract approach to prove local uniqueness and conditional Hölder stability to non-linear inverse problems by linearization. The main condition is that, in addition…