Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational source conditions and stability estimates for inverse
  electromagnetic medium scattering problems   This paper is concerned with the inverse problem to recover the scalar,
complex-valued refractive index of a medium from measurements of scattered
time-harmonic electromagnetic waves at a fixed frequency. The main results are
two variational source conditions for near and far field data, which imply
logarithmic rates of convergence of regularization methods, in particular
Tikhonov regularization, as the noise level tends to $0$. Moreover, these
variational source conditions imply conditional stability estimates which
improve and complement known stability estimates in the literature.

27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph