Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On distributional adjugate and derivative of the inverse   Let $\Omega\subset\er^3$ be a domain and let $f\colon\Omega\to\er^3$ be a
bi-$BV$ homeomorphism. Very recently in \cite{HKL} it was shown that the
distributional adjugate of $Df$ (and thus also of $Df^{-1}$) is a matrix-valued
measure. In the present paper we show that the components of $\Adj Df$ are
equal to components of $Df^{-1}(f(U))$ as measures and that the absolutely
continuous part of the distributional adjugate $\Adj Df$ equals to the
pointwise adjugate $\adj Df(x)$ a.e. We also show the equivalence of several
approaches to the definition of the distributional adjugate.

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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
16
The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con