Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of Coupled-Physics Inverse Problems with internal measurements   In this paper, we develop a general approach to prove stability for the non
linear second step of hybrid inverse problems. We work with general functionals
of the form $\sigma|\nabla u|^p$, $0 < p \leq 1$, where $u$ is the solution of
the elliptic partial differential equation $\nabla\cdot \sigma \nabla u =0$ on
a bounded domain $\Omega$ with boundary conditions $u|_{\partial \Omega} = f$.
We prove stability of the linearization and H\"older conditional stability for
the non-linear problem of recovering $\sigma$ from the internal measurement.

36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph