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Uniqueness and stability of time and space-dependent conductivity in a hyperbolic cylindrical domain

Larisa Beilina (Institutionen för matematiska vetenskaper) ; Michel Cristofol ; Shumin Li
(2016)
[Preprint]

This paper is devoted to the reconstruction of the time and space-dependent coefficient in an infinite cylindrical hyperbolic domain. Using a local Carleman estimate we prove the uniqueness and a Hölder stability in the determining of the conductivity by a single measurement on the lateral boundary. Our numerical examples show good reconstruction of the location and contrast of the conductivity function in three dimensions.



Denna post skapades 2016-12-20.
CPL Pubid: 246417

 

Institutioner (Chalmers)

Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)

Ämnesområden

Matematik

Chalmers infrastruktur