Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the optimal controllability time for linear hyperbolic systems with
  time-dependent coefficients   The optimal time for the controllability of linear hyperbolic systems in one
dimensional space with one-side controls has been obtained recently for
time-independent coefficients in our previous works. In this paper, we consider
linear hyperbolic systems with time-varying zero-order terms. We show the
possibility that the optimal time for the null-controllability becomes
significantly larger than the one of the time-invariant setting even when the
zero-order term is indefinitely differentiable. When the analyticity with
respect to time is imposed for the zero-order term, we also establish that the
optimal time is the same as in the time-independent setting.

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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol