Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low Regularity Ray Tracing for Wave Equations with Gaussian beams   We prove observability estimates for oscillatory Cauchy data modulo a small
kernel for $n$-dimensional wave equations with space and time dependent $C^2$
and $C^{1,1}$ coefficients using Gaussian beams. We assume the domains and
observability regions are in $\mathbb{R}^n$, and the GCC applies. This work
generalizes previous observability estimates to higher dimensions and time
dependent coefficients. The construction for the Gaussian beamlets solving
$C^{1,1}$ wave equations represents an improvement and simplification over
Waters (2011).

15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th