Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recovering point sources for the inhomogeneous Helmholtz equation   The paper is concerned with an inverse point source problem for the Helmholtz
equation. It consists of recovering the locations and amplitudes of a finite
number of radiative point sources inside a given inhomogeneous medium from the
knowledge of a single boundary measurement. The main result of the paper is a
new H\"{o}lder type stability estimate for the inversion under the assumption
that the point sources are well separated. The proof of the stability is based
on a combination of Carleman estimates and a technique for proving uniqueness
of the Cauchy problem.

8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
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The categories of this paper are: nlin
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th