Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Space-like strong unique continuation for some fractional parabolic
  equations   In this paper we establish the \emph{space-like} strong unique continuation
for nonlocal equations of the type $(\partial_t - \Delta)^s u= Vu$, for $0<s
<1$. The proof of our main result, Theorem 1.1, is achieved via a conditional
elliptic type doubling property for solutions to the appropriate extension
problem, followed by a blowup analysis.

33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
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The categories of this paper are: mtrl-th