Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: No Cauchy datum needed for the unique solution in
  $\mathcal{S}^\prime(\mathbb{R}^{1+2d})$ of the linearized Vlasov-Maxwell
  system with the limiting absorption principle   For the linearized Vlasov equation, we establish a mathematically rigorous
characterization of the specific (unique) solution which physically describes
the response of a hot plasma to an external small-amplitude electromagnetic
disturbance. This allows us to define the plasma conductivity operator $\sigma$
which gives the current density $J = \sigma E$ induced in the plasma by the
electric field $E$ of the disturbance. With this aim we study first a simple
model problem with damping and explain the relationship between the general
solutions of the Cauchy problem with given data and the tempered solution which
is unique. We apply them to the specific case of a hot uniform non-magnetized
non-relativistic plasma (linear Landau damping).

8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci