Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Well-posedness of the Schr\"odinger-Korteweg-de Vries system   We prove that the Cauchy problem for the Schr\"odinger-Korteweg-de Vries
system is locally well-posed for the initial data belonging to the Sovolev
spaces $L^2(\R)\times H^{-{3/4}}(\R)$. The new ingredient is that we use the
$\bar{F}^s$ type space, introduced by the first author in \cite{G}, to deal
with the KdV part of the system and the coupling terms. In order to overcome
the difficulty caused by the lack of scaling invariance, we prove uniform
estimates for the multiplier. This result improves the previous one by Corcho
and Linares.

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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc