Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hypoelliptic and spectral estimates for the linearized Landau operator   We are interested in the inhomogeneous Landau equation which describes the
evolution of a particle density f = f (t, x, v) representing at time t $\ge$ 0,
the density of particles at position x $\in$ R 3 and velocity v $\in$ R 3. The
study is motivated by the linearization of the Landau equation near Maxwellian
distribution. In this article, we establish hypoelliptic estimates, a
localization of the spectrum and estimates of the resolvent of the linear
Landau operator with hard potentials and Maxwellian molecules. The proof is
based on a multiplier method and requires fine pseudo-differential calculus
tools.

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The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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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