Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A pointwise characterization of the subdifferential of the total
  variation functional   We derive a new pointwise characterization of the subdifferential of the
total variation (TV) functional. It involves a full trace operator which maps
certain $ L^q $ - vectorfields to integrable functions with respect to the
total variation measure of the derivative of a bounded variation function. This
full trace operator extents a notion of normal trace, frequently used, for
example, to characterize the total variation flow.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph