Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness and Regularity of Unbounded Weak Solutions to a Class of
  Cross Diffusion Systems   We establish the uniqueness and regularity of weak (and very weak) solutions
to a class of cross diffusion systems which is inspired by models in
mathematical biology/ecology, in particular the Shigesada-Kawasaki-Teramoto
(SKT) model in population biology. No boundedness assumption on these solutions
is supposed here as known techniques for scalar equations such as
maximum/comparison principles are generally unavailable for systems.
Furthermore, for planar domains we show that unbounded weak solutions
satisfying mild integrability conditions are in fact smooth.

16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin