Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse Strichartz estimates for 1d Schr\"odinger operators with
  potentials of quadratic growth   We prove inverse Strichartz theorems at $L^2$ regularity for a family of
Schr\"{o}dinger evolutions in one space dimension. Prior results rely on
spacetime Fourier analysis and are limited to the translation-invariant
equation $i\partial_t u = -\tfrac{1}{2} \Delta u$. Motivated by applications to
the mass-critical Schr\"odinger equation with external potentials (such as the
harmonic oscillator) we use a physical space approach.

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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin