Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A priori bounds for quasi-linear SPDEs in the full sub-critical regime   This paper is concerned with quasi-linear parabolic equations driven by an
additive forcing $\xi \in C^{\alpha-2}$, in the full sub-critical regime
$\alpha \in (0,1)$. We are inspired by Hairer's regularity structures, however
we work with a more parsimonious model indexed by multi-indices rather than
trees. This allows us to capture additional symmetries which play a crucial
role in our analysis. Assuming bounds on this model, which is modified in
agreement with the concept of algebraic renormalization, we prove local a
priori estimates on solutions to the quasi-linear equations modified by the
corresponding counter terms.

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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con