Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering for NLS with a delta potential   We prove $H^1$ scattering for defocusing NLS with a delta potential and
mass-supercritical nonlinearity, hence extending in an inhomogeneous setting
the classical 1-D scattering results first proved by Nakanishi in the
translation invariant case.

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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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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: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph