Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness for a modified Zakharov system   The Cauchy problem for a modified Zakharov system is proven to be locally
well-posed for rough data in two and three space dimensions. In the three
dimensional case the problem is globally well-posed for data with small energy.
Under this assumption there also exists a global classical solution for
sufficiently smooth data.

13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci