Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering of radial solutions to the Inhomogeneous Nonlinear
  Schr\"odinger Equation   We prove scattering below the mass-energy threshold for the focusing
inhomogeneous nonlinear Schr\"odinger equation
  \begin{equation}
  iu_t + \Delta u + |x|^{-b}|u|^{p-1}u=0,
  \end{equation}
  when $b \geq 0$ and $N > 2$ in the intercritical case $0 < s_c <1$. This work
generalizes the results of Farah and Guzm\'an [9], allowing a broader range of
values for the parameters $p$ and $b$. We use a modified version of
Dodson-Murphy's approach [6], allowing us to deal with the inhomogeneity. The
proof is also valid for the classical nonlinear Schr\"odinger equation ($b =
0$), extending the work in [6] for radial solutions in all intercritical cases.

24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics