Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a hyperbolic coefficient inverse problem via partial dynamic boundary
  measurements   This paper is devoted to the identification of the unknown smooth coefficient
c entering the hyperbolic equation $c(x)\partial_{t}^{2}u - \Delta u = 0$ in a
bounded smooth domain in $\R^{d}$ from partial (on part of the boundary)
dynamic boundary measurements. In this paper we prove that the knowledge of the
partial Cauchy data for this class of hyperbolic PDE on any open subset
$\Gamma$ of the boundary determines explicitly the coefficient $c$ provided
that $c$ is known outside a bounded domain. Then, through construction of
appropriate test functions by a geometrical control method, we derive a formula
for calculating the coefficient $c$ from the knowledge of the difference
between the local Dirichlet to Neumann maps.

7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th