Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double logarithmic stability estimate in the identification of a scalar
  potential by a partial elliptic Dirichlet-to-Neumann map   We examine the stability issue in the inverse problem of determining a scalar
potential appearing in the stationary Schr{\"o}dinger equation in a bounded
domain, from a partial elliptic Dirichlet-to-Neumann map. Namely, the Dirichlet
data is imposed on the shadowed face of the boundary of the domain and the
Neumann data is measured on its illuminated face. We establish a log log
stability estimate for the L2-norm (resp. the H minus 1-norm) of bounded (resp.
L2) potentials whose difference is lying in any Sobolev space of order positive
order.

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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph