Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear inverse problem for identifying a coefficient of the lowest
  term in hyperbolic equation with nonlocal conditions   In this paper, a nonlinear inverse boundary value problem for the
second-order hyperbolic equation with nonlocal conditions is studied. To
investigate the solvability of the original problem, we first consider an
auxiliary inverse boundary value problem and prove its equivalence (in a
certain sense) to the original problem. Then using the Fourier method and
contraction map pings principle, the existence and uniqueness theorem for
auxiliary problem is proved. Further, on the basis of the equivalency of these
problems the existence and uniqueness theorem for the classical solution of the
considered inverse coefficient problem is proved for the smaller value of time.

15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess