Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Multidimensional stable-driven Stochastic Differential Equations with
  Besov drift   We establish well-posedness results for multidimensional non degenerate
$\alpha$-stable driven SDEs with time inhomogeneous singular drifts in
$\mathbb{L}^r-{\mathbb B}_{p,q}^{-1+\gamma}$ with $\gamma<1$ and $\alpha$ in
$(1,2]$, where $\mathbb{L}^r$ and ${\mathbb B}_{p,q}^{-1+\gamma} $ stand for
Lebesgue and Besov spaces respectively. Precisely, we first prove the
well-posedness of the corresponding martingale problem and then give a precise
meaning to the dynamics of the SDE. This allows us in turn to define an ad hoc
notion of weak solution, for which well-posedness holds as well. Our results
rely on the smoothing properties of the underlying PDE, which is investigated
by combining a perturbative approach with duality results between Besov spaces.

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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th