Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Proof of Schiffer's Conjecture in Starlike Domain by Far-Field
  Patterns   We formulate the Schiffer's conjecture in spectral geometry in the context of
scattering theory. The problem is equivalent to finding a non-trivial solution
in an interior transmission problem. We compare the back-scattering data of the
perturbation along all incident angles. The uniqueness of the inverse
scattering problem along each incident direction proves the Schiffer's
conjecture.

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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an