Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hypoellipticity for infinitely degenerate quasilinear equations and the
  Dirichlet problem   In a previous paper we considered a class of infinitely degenerate
quasilinear equations and derived a priori bounds for high order derivatives of
solutions in terms of the Lipschitz norm. We now show that it is possible to
obtain bounds just in terms of the supremum norm for a further subclass of such
equations, and we apply the resulting estimates to prove that continuous weak
solutions are necessarily smooth. We also obtain existence, uniqueness and
interior regularity of solutions for the Dirichlet problem with continuous
boundary data.

10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph