Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability and Total Variation Estimates on General Scalar Balance Laws   Consider the general scalar balance law $\partial_t u + \Div f(t, x,u) =
F(t,x,u)$ in several space dimensions. The aim of this note is to estimate the
dependence of its solutions from the flow $f$ and from the source $F$. To this
aim, a bound on the total variation in the space variables of the solution is
obtained. This result is then applied to obtain well posedness and stability
estimates for a balance law with a non local source.

25
The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
10
The categories of this paper are: q-bio