Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and stability of periodic solution to the 3D Ginzburg-Landau
  equation in weighted Sobolev spaces   We prove the existence of time periodic solution to the 3D Ginzburg-Landau
equation in weighted Sobolev spaces. We consider the cubic Ginzburg-Landau
equation with an external force $g$ satisfying the oddness condition
$g(-x,t)=-g(x,t)$. The existence of the periodic solution is proved for small
time-periodic external force. The stability of the time periodic solution is
also considered.

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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg