Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the uniqueness of classical solutions of Cauchy problems   Given that the terminal condition is of at most linear growth, it is well
known that a Cauchy problem admits a unique classical solution when the
coefficient multiplying the second derivative (i.e., the volatility) is also a
function of at most linear growth. In this note, we give a condition on the
volatility that is necessary and sufficient for a Cauchy problem to admit a
unique solution.

3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys