Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improvement of the energy method for strongly non resonant dispersive
  equations and applications   In this paper we propose a new approach to prove the local well-posedness of
the Cauchy problem associated with strongly non resonant dispersive equations.
As an example we obtain unconditional well-posedness of the Cauchy problem
below $ H^1 $ for a large class of one-dimensional dispersive equations with a
dispersion that is greater or equal to the one of the Benjamin-Ono equation.
Since this is done without using a gauge transform, this enables us to prove
strong convergence results for solutions of viscous versions of these equations
towards the purely dispersive solutions.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn