Determining the conductivity for a nonautonomous hyperbolic operator in a cylindrical domain
Artikel i vetenskaplig tidskrift, 2018
This paper is devoted to the reconstruction of the conductivity coefficient for a nonautonomous hyperbolic operator an infinite cylindrical domain. Applying a local Carleman estimate, we prove the uniqueness and a Hölder stability in the determination of the conductivity using a single measurement data on the lateral boundary. Our numerical examples show good reconstruction of the location and contrast of the conductivity function in 3 dimensions.
infinite domain
time- and space-dependent coefficient
Carleman estimate
hyperbolic equation
inverse problem
Författare
Larisa Beilina
Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik
Göteborgs universitet
M. Cristofol
Institut de Mathematiques de Marseille
Shumin Li
University of Science and Technology of China
Mathematical Methods in the Applied Sciences
0170-4214 (ISSN) 1099-1476 (eISSN)
Vol. 41 5 2012-2030Ämneskategorier
Beräkningsmatematik
Geofysik
Matematisk analys
DOI
10.1002/mma.4728