Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Space-time coupled evolution equations and their stochastic solutions   We consider a class of space-time coupled evolution equations (CEEs),
obtained by a subordination of the heat operator. Our CEEs reformulate and
extend known governing equations of non-Markovian processes arising as scaling
limits of continuous time random walks, with widespread applications. In
particular we allow for initial conditions imposed on the past, general spatial
operators on Euclidean domains and a forcing term. We prove existence,
uniqueness and stochastic representation for solutions.

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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an