Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dispersive estimates for the Schrodinger equation in dimensions four and
  five   We prove optimal (that is, without loss of derivatives) dispersive estimates
for the Schrodinger group $e^{it(-\Delta+V)}$ for a class of real-valued
potentials $V\in C^k(R^n)$ with $k>(n-3)/2$, where $n=4,5$.

21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th