Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Blowup solutions of Grushin's operator   In this note, we consider the blowup phenomenon of Grushin's operator. By
using the knowledge of probability, we first get expression of heat kernel of
Grushin's operator. Then by using the properties of heat kernel and suitable
auxiliary function, we get that the solutions will blow up in finite time.

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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph