Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse scattering and global well-posedness in one and two space
  dimensions   These notes are a considerably revised and expanded version of expository
lectures given at the Fields Institute Workshop on "Nonlinear Dispersive
Partial Differential Equations and Inverse Scattering" in August 2017. We give
a complete and self-contained treatment of inverse scattering for the
defocussing cubic NLS in one-dimension, following the 2003 paper of Deift and
Zhou, and the defocussing Davey-Stewartson equation in two space dimensions,
following the work of Perry and more recent work of Nachman, Regev, and Tataru.

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The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
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The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
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The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: funct-an
3
The categories of this paper are: physics