Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polar decomposition of semigroups generated by non-selfadjoint quadratic
  differential operators and regularizing effects   We characterize geometrically the regularizing effects of the semigroups
generated by accretive non-selfadjoint quadratic differential operators. As a
byproduct, we establish the subelliptic estimates enjoyed by these operators,
being expected to be optimal. These results prove conjectures by M. Hitrik, K.
Pravda-Starov and J. Viola. The proof relies on a new representation of the
polar decomposition of these semigroups. In particular, we identify the
selfadjoint part as the evolution operator generated by the Weyl quantization
of a time-dependent real-valued nonnegative quadratic form for which we prove a
sharp anisotropic lower bound.

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The categories of this paper are: dg-ga
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ