Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary determination of electromagnetic and Lam\'e parameters with
  corrupted data   We study boundary determination for an inverse problem associated to the
time-harmonic Maxwell equations and another associated to the isotropic
elasticity system. We identify the electromagnetic parameters and the Lam\'e
moduli for these two systems from the corresponding boundary measurements. In a
first step we reconstruct Lipschitz magnetic permeability, electric
permittivity and conductivity on the surface from the ideal boundary
measurements. Then, we study inverse problems for Maxwell equations and the
isotropic elasticity system assuming that the data contains measurement errors.
For both systems, we provide explicit formulas to reconstruct the parameters on
the boundary as well as its rate of convergence formula.

36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex