Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuation beyond interior gradient blow-up in a semilinear parabolic
  equation   It is known that there is a class of semilinear parabolic equations for which
interior gradient blow-up (in finite time) occurs for some solutions. We
construct a continuation of such solutions after gradient blow-up. This
continuation is global in time and we give an example when it never becomes a
classical solution again.

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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex