Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse source problems in elastodynamics   We are concerned with time-dependent inverse source problems in
elastodynamics. The source term is supposed to be the product of a spatial
function and a temporal function with compact support. We present
frequency-domain and time-domain approaches to show uniqueness in determining
the spatial function from wave fields on a large sphere over a finite interval.
Stability estimate of the temporal function from the data of one receiver and
uniqueness result using partial boundary data are proved. Our arguments rely
heavily on the use of the Fourier transform, which motivated inversion schemes
that can be easily implemented. A Landweber iterative algorithm for recovering
the spatial function and a non-iterative inversion scheme based on the
uniqueness proof for recovering the temporal function are proposed. Numerical
examples are demonstrated in both two and three dimensions.

26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat