Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L2 formulation of multidimensional scalar conservation laws   We show that Kruzhkov's theory of entropy solutions to multidimensional
scalar conservation laws can be entirely recast in L2 and fits into the general
theory of maximal monotone operators in Hilbert spaces. Our approach is based
on a combination of level-set, kinetic and transport-collapse approximations,
in the spirit of previous works by Giga, Miyakawa, Osher, Tsai and the author.

4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
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
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom