Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuous dependence estimate for conservation laws with L\'{e}vy noise   We are concerned with multidimensional stochastic balance laws driven by
L\'{e}vy processes. Using bounded variation (BV) estimates for vanishing
viscosity approximations, we derive an explicit continuous dependence estimate
on the nonlinearities of the entropy solutions under the assumption that
L\'{e}vy noise only depends on the solution. This result is used to show the
error estimate for the stochastic vanishing viscosity method. In addition, we
establish fractional $BV$ estimate for vanishing viscosity approximations in
case the noise coefficient depends on both the solution and spatial variable.

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The categories of this paper are: stat
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: econ
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat