Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of Optimal Partial Transport   This paper considers the evolution dynamics of the free boundaries in terms
of the change of $m$, the allowed amount of transported mass or the change of
$\lambda$, the transportation cost cap, i.e. the allowed maximum cost for a
unit mass to be transported. Focusing on the quadratic cost function, we show
H\"older and Lipschitz estimates on the speed of the free boundary motion in
terms of $m$ and $\lambda$, respectively. It is also shown that the parameter
$m$ is a Lipschitz function of $\lambda$, which previously was known only to be
a continuous increasing function \cite{Ca-Mc}.

0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin