Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering for wave maps exterior to a ball   We consider 1-equivariant wave maps from \R \times (\R^3 \setminus B) to S^3
where B is a ball centered at 0, and the boundary of B gets mapped to a fixed
point on S^3. We show that 1-equivariant maps of degree zero scatter to zero
irrespective of their energy. For positive degrees, we prove asymptotic
stability of the unique harmonic maps in the energy class determined by the
degree.

28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th