11 papers
Instability estimates for the recovery of absorption in the diffusive regime of radiative transfer
Elena Demattè, Alessandro Felisi, Angkana Rüland +1
We revisit the instability properties of the recovery of the absorption coefficient for the radiative transfer equation in the diffusive regime. To this end, we develop a rather ro…
On the transfer of stability from the local to the fractional anisotropic Calderón problem with exterior measurements
Hendrik Baers, Angkana Rüland
We study the quantitative transfer of uniqueness from the classical to the fractional Calderón problem with exterior data. This allows us to deduce the first stability estimates f…
The energy scaling behaviour of singular perturbation models of staircase type in linearized elasticity for higher order laminates
Lennart Machill, Angkana Rüland
We investigate the scaling behaviour of a singular perturbation model within the geometrically linearized theory of elasticity involving data of higher lamination order. We study b…
Transfer of Stability from the Classical to the Fractional Anisotropic Calderón Problem
Hendrik Baers, Angkana Rüland
We discuss two spectral fractional anisotropic Calderón problems with source-to-solution measurements and their quantitative relation to the classical Calderón problem. Firstly,…
On surface energies in scaling laws for singular perturbation problems for martensitic phase transitions
Angkana Rüland, Camillo Tissot, Antonio Tribuzio +1
The objective of this article is to compare different surface energies for multi-well singular perturbation problems associated with martensitic phase transformations involving hig…
On instability mechanisms for inverse problems
Herbert Koch, Angkana Rüland, Mikko Salo
In this article we present three robust instability mechanisms for linear and nonlinear inverse problems. All of these are based on strong compression properties (in the sense of s…