Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Schrodinger equation outside strictly convex obstacles   We prove sharp Strichartz estimates for the semi-classical Schrodinger
equation on a compact manifold with smooth, strictly geodesically concave
boundary. We deduce sharp (classical) Strichartz estimates for the Schrodinger
equation outside a strictly convex obstacle, local existence for the
H^1-critical (quintic) Schrodinger equation and scattering for the sub-critical
Schrodinger equation in 3D.

18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs