Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pullback Attractors for Non-autonomous Reaction-Diffusion Equations on
  R^n   We study the long time behavior of solutions of the non-autonomous
Reaction-Diffusion equation defined on the entire space R^n when external terms
are unbounded in a phase space. The existence of a pullback global attractor
for the equation is established in L^2(R^n) and H^1(R^n), respectively. The
pullback asymptotic compactness of solutions is proved by using uniform a
priori estimates on the tails of solutions outside bounded domains.

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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
1
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: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an