Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary behavior of solutions of a class of genuinely nonlinear
  hyperbolic systems   For a certain class of genuinely nonlinear two-by-two planar hyperbolic
systems we show that any classical solution on a smoothly bounded domain has
nontangential boundary limits except on a set whose Hausdorff dimension is
bounded by some system-dependent constant which is strictly less than 1 and, on
the other hand, that for any system of the kind considered there is in fact a
solution on a half-plane which fails to have nontangential limits at a set of
boundary points of positive Hausdorff dimension.

27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph