Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Existence and Regularity Results for Strongly Coupled Nonregular
  Parabolic Systems via Iterative Methods   The global existence of classical solutions to strongly coupled parabolic
systems is shown to be equivalent to the availability of an iterative scheme
producing a sequence of solutions with uniform continuity in the BMO norms.
Amann's results on global existence of classical solutions still hold under
much weaker condition that their BMO norms do not blow up in finite time. The
proof makes use of some new global and local weighted Gagliardo-Nirenberg
inequalities involving BMO norms.

30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th