Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differentiability in perturbation parameter of measure solutions to
  perturbed transport equation   We consider a linear perturbation in the velocity field of the transport
equation. We investigate solutions in the space of bounded Radon measures and
show that they are differentiable with respect to the perturbation parameter in
a proper Banach space, which is predual to the H\"older space
$\mathcal{C}^{1+\alpha}(\mathbb{R}^d)$. This result on differentiability is
necessary for application in optimal control theory, which we also discuss.

19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th