Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the fifth order KdV equation: local well-posedness and lack of
  uniform continuity of the solution map   In this paper we prove that the fifth order equation arising from the KdV
hierarchy $ \partial_tu + \partial_x^5u + c_1\partial_x u\partial_x^2u +
c_2u\partial_x^3u = 0 $ is locally well-posed in $ H^s(\mathbb{R}) $ for $ s>
5/2. Also, we prove the solution map of the equation is not uniformly
continuous for $s>0$.

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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat