Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit tight bounds on the stably recoverable information for the
  inverse source problem   For the inverse source problem with the two-dimensional Helmholtz equation,
the singular values of the 'source-to-near field' forward operator reveal a
sharp frequency cut-off in the stably recoverable information on the source. We
prove and numerically validate an explicit, tight lower bound for the spectral
location of this cut-off. We also conjecture and support numerically a tight
upper bound for the cut-off. The bounds are expressed in terms of zeros of
Bessel functions of the first and second kind.

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The categories of this paper are: physics
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The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: stat