Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A global stability estimate for the photo-acoustic inverse problem in
  layered media   This paper is concerned with the stability issue in determining absorption
and diffusion coefficients in photoacoustic imaging. Assuming that the medium
is layered and the acoustic wave speed is known we derive global H\"{o}lder
stability estimates of the photo-acoustic inversion. These results show that
the reconstruction is stable in the region close to the optical illumination
source, and deteriorate exponentially far away. Several experimental pointed
out that the resolution depth of the photo-acoustic modality is about tens of
millimeters. Our stability estimates confirm these observations and give a
rigorous quantification of this depth resolution.

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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom