Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Acoustic Scattering from Corners, Edges and Circular Cones   Consider the time-harmonic acoustic scattering from a bounded penetrable
obstacle imbedded in an isotropic homogeneous medium. The obstacle is supposed
to possess a circular conic point or an edge point on the boundary in three
dimensions and a planar corner point in two dimensions. The opening angles of
cones and edges are allowed to be any number in $(0,2\pi)\backslash\{\pi\}$. We
prove that such an obstacle scatters any incoming wave non-trivially (i.e., the
far field patterns cannot vanish identically), leading to the absence of real
non-scattering wavenumbers. Local and global uniqueness results for the inverse
problem of recovering the shape of a penetrable scatterers are also obtained
using a single incoming wave. Our approach relies on the singularity analysis
of the inhomogeneous Laplace equation in a cone.

29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
19
The categories of this paper are: eess