Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quadratic Nonlinear Derivative Schr\"odiger Equations - Part 1   In this paper we consider the local well-posedness theory for the quadratic
nonlinear Schr\"odinger equation with low regularity initial data in the case
when the nonlinearity contains derivatives. We work in 2+1 dimensions and prove
a local well-posedness result up to the scaling for small initial data with
some spherical symmetry structure.

12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph