34 citations · 210 across the 52 of their papers we have counts for
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Numerical methods for parameter identification in stationary radiative transfer
Herbert Egger, Matthias Schlottbom
We consider the identification of scattering and absorption rates in the stationary radiative transfer equation. For a stable solution of this parameter identification problem, we…
Diffusion asymptotics for linear transport with low regularity
Herbert Egger, Matthias Schlottbom
We provide an asymptotic analysis of linear transport problems in the diffusion limit under minimal regularity assumptions on the domain, the coefficients, and the data. The weak f…
Numerical identification of a nonlinear diffusion law via regularization in Hilbert scales
Herbert Egger, Jan-Frederik Pietschmann, Matthias Schlottbom
We consider the reconstruction of a diffusion coefficient in a quasilinear elliptic problem from a single measurement of overspecified Neumann and Dirichlet data. The uniqueness fo…
Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem
Herbert Egger, Jan-Frederik Pietschmann, Matthias Schlottbom
In this work we consider the identifiability of two coefficients and in a quasilinear elliptic partial differential equation from observation of the Dirichlet-to-Neum…
An theory for stationary radiative transfer
Herbert Egger, Matthias Schlottbom
We present a self-contained analysis of the stationary radiative transfer equation in weighted spaces. The use of weighted spaces allows us to derive uniform a-priori estimat…