Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On semimartingale local time inequalities and applications in SDE's   Using the balayage formula, we prove an inequality between the measures
associated to local times of semimartingales. Our result extends the
"comparison theorem of local times" of Ouknine $(1988)$, which is useful in the
study of stochastic differential equations. The inequality presented in this
paper covers the discontinuous case. Moreover, we study the pathwise uniqueness
of some stochastic differential equations involving local time of unknown
process.

5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph