An Inverse Initial Boundary Value Problem for the Wave Equation in the Presence of Imperfections of Small Volume

DOI10.1137/S0363012901384247zbMath1028.35159MaRDI QIDQ4785678

Habib Ammari

Publication date: 5 January 2003

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

algorithmsreconstructiongeometric controlsmall conductivity inhomogeneitiesdynamic boundary measurements

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Inverse problems for PDEs (35R30) Wave equation (35L05)

Related Items

Reconstruction of closely spaced small inhomogeneities via boundary measurements for the full time-dependent Maxwell's equations ⋮ Identification of small amplitude perturbations in the electromagnetic parameters from partial dynamic boundary measurements. ⋮ Determination of small amplitude perturbations for the electric permittivity from partial dynamic boundary measurements ⋮ On the identification of the heat conductivity distribution from partial dynamic boundary measurements ⋮ Sensitivity analysis of hyperbolic optimal control problems ⋮ Expansion Methods ⋮ How to position sensors in thermo-acoustic tomography ⋮ Mathematical models and reconstruction methods in magneto-acoustic imaging ⋮ Numerical solution of an inverse initial boundary value problem for the wave equation in the presence of conductivity imperfections of small volume ⋮ Level Set--Based Shape Optimization Approach for Sharp-Interface Reconstructions in Time-Domain Full Waveform Inversion ⋮ Numerical solution of an inverse initial boundary-value problem for the full time-dependent Maxwell's equations in the presence of imperfections of small volume