Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Cauchy problem for the quasilinear Schrodinger equatio   These are lectures notes for a 6 hour course given at PCMI, Park City, Utah,
in the summer of 2003. The notes are based on a series of joint works of
Kenig-Ponce-Vega. Each lecture had problems assigned with it. The lecture notes
were prepared with the help of Justin Holmer. Justin Holmer also provided
solutions to the problems, in an appendix to the notes.

14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess