Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factorization of Second-order strictly hyperbolic operators with
  non-smooth coefficients and microlocal diagonalization   We study strictly hyperbolic partial differential operators of second order
with non-smooth coefficients. After modelling them as semiclassical Colombeau
equations of log-type we provide a factorization procedure on some
time-space-frequency domain. As a result the operator is written as a product
of two semiclassical first-order constituents of log-type which approximates
the modelled operator microlocally at infinite points. We then present a
diagonalization method so that microlocally at infinity the governing equation
is equal to a coupled system of two semiclassical first-order strictly
hyperbolic pseudodifferential equations. Furthermore we compute the coupling
effect. We close with some remarks on the results and future directions.

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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat