Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time-harmonic solutions for Maxwell's equations in anisotropic media and
  Bochner-Riesz estimates with negative index for non-elliptic surfaces   We solve time-harmonic Maxwell's equations in anisotropic, spatially
homogeneous media in intersections of $L^p$-spaces. The material laws are
time-independent. The analysis requires Fourier restriction-extension estimates
for perturbations of Fresnel's wave surface. This surface can be decomposed
into finitely many components of the following three types: smooth surfaces
with non-vanishing Gaussian curvature, smooth surfaces with Gaussian curvature
vanishing along one-dimensional submanifolds, but without flat points, and
surfaces with conical singularities. Our estimates are based on new
Bochner-Riesz estimates with negative index for non-elliptic surfaces.

6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int