Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The body force in a three-dimensional Lame' system: identification and
  regularization   Let a three-dimensional isotropic elastic body be described by the Lam\'e
system with the body force of the form $F(x,t)=\phi(t)f(x)$, where $\phi$ is
known. We consider the problem of determining the unknown spatial term $f(x)$
of the body force where the surface stress history is given as the
overdetermination. This inverse problem is ill-posed. Using the interpolation
method and truncated Fourier series, we construct a regularized solution from
approximate data and provide explicit error estimates.
  AMS 2010 Subject Classification: 35L20, 35R30.
  Keywords: Body force, elastic, ill$-$posed problem, interpolation, Fourier
series.

31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat