Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Carleman Estimate and Inverse Source Problem for Biot's Equations
  Describing Wave Propagation in Porous Media   According to Biot's paper in 1956, by using the Lagrangian equations in
classical mechanics, we consider a problem of the filtration of a liquid in
porous elastic-deformation media whose mechanical behavior is described by the
Lam'e system coupled with a hyperbolic equation. Assuming the null surface
displacement on the whole boundary, we discuss an inverse source problem of
determining a body force only by observation of surface traction on a suitable
subdomain along a sufficiently large time interval. Our main result is a
H\"older stability estimate for the inverse source problem, which is proved by
a new Carleman estimat for Biot's system.

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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: atom-ph