Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering for the focusing energy-subcritical NLS   For the 3D focusing cubic nonlinear Schrodinger equation, Scattering of $H^1$
solutions inside the (scale invariant) potential well was established by Holmer
and Roudenko~\cite{HR2} (radial case) and Duyckaerts, Holmer and
Roudenko~\cite{DHR} (general case). In this paper, we extend this result to
arbitrary space dimensions and focusing, mass-supercritical and
energy-subcritical power nonlinearities, by adapting the method of~\cite{DHR}.

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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: quant-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: cmp-lg
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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: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas