Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gradient estimates for a class of anisotropic nonlocal operators   Using a classical technique introduced by Achi E. Brandt for elliptic
equations, we study a general class of nonlocal equations obtained as a
superposition of classical and fractional operators in different variables. We
obtain that the increments of the derivative of the solution in the direction
of a variable experiencing classical diffusion are controlled linearly, with a
logarithmic correction. From this, we obtain H\"older estimates for the
solution.

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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: eess