Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The IVP for the dispersion generalized Benjamin-Ono equation in weighted
  Sobolev spaces   We study the initial value problem associated to the dispersion generalized
Benjamin-Ono equation. Our aim is to establish well posedness results in
weighted Sobolev spaces and to deduce from them some sharp unique continuation
properties of solutions to this equation. In particular, we shall establish
optimal decay rate for the solutions of this model.

31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex