Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Landau equation for very soft and Coulomb potentials near Maxwellians   This work deals with the Landau equation for very soft and Coulomb potentials
near the associated Maxwellian equilibrium. We first investigate the
corresponding linearized operator and develop a method to prove stability
estimates of its associated semigroup in large functional spaces. We then
deduce existence, uniqueness and fast decay of the solutions to the nonlinear
equation in a close-to-equilibrium framework. Our result drastically improves
the set of initial data compared to the one considered by Guo and Strain who
established similar results in [21, 37, 38]. Our functional framework is
compatible with the non perturbative frameworks developed by Villani,
Desvillettes and co-authors [42, 17, 16, 13], and our main result then makes
possible to improve the speed of convergence to the equilibrium established
therein.

11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph