Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of Spherically Symmetric Wave Maps   We study Wave Maps from R^{2+1} to the hyperbolic plane with smooth compactly
supported initial data which are close to smooth spherically symmetric ones
with respect to some H^{1+\mu}, \mu>0. We show that such Wave Maps don't
develop singularities and stay close to the Wave Map extending the spherically
symmetric data with respect to all H^{1+\delta}, \delta<\mu_{0}(\mu). We obtain
a similar result for Wave Maps whose initial data are close to geodesic ones.
This generalizes a theorem of Sideris for this context.

35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int