Home > Scientific Research > Paper Publications

Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary

Hits:

Impact Factor:1.2
DOI number:10.3934/mcrf.2016009
Journal:Mathematical Control and Related Fields
Key Words:Inverse problem; hyperbolic equation; conductivity coefficient; Carleman estimate; infinite cylindrical domain
Abstract:We consider the multidimensional inverse problem of determining the conductivity coefficient of a hyperbolic equation in an infinite cylindrical domain, from a single boundary observation of the solution. We prove Holder stability with the aid of a Carleman estimate specifically designed for hyperbolic waveguides.
Co-author:Michel Cristofol,Shumin Li,Eric Soccorsi
Indexed by:Journal paper
Document Code:000385012800003
Discipline:Natural Science
Document Type:J
Volume:6
Issue:3
Page Number:407-427
Translation or Not:no
Date of Publication:2016-09-01
Included Journals:SCI
Links to published journals:https://www.aimsciences.org/article/doi/10.3934/mcrf.2016009

Pre One:A Stability Estimate for an Inverse Problem of Determining a Coefficient in a Hyperbolic Equation with a Point Source

Next One:Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. Part I: Carleman estimates