Reconstruction of less regular conductivities in the plane

Simple item page
dc.creatorKnudsen, Kim
dc.creatorTamasan, Alexandru
dc.date2001-10-26
dc.date.accessioned2026-07-07T04:44:07Z
dc.date.available2026-07-07T04:44:07Z
dc.descriptionWe study the inverse conductivity problem of how to reconstruct an isotropic electrical conductivity distribution $γ$ in an object from static electrical measurements on the boundary of the object. We give an exact reconstruction algorithm for the conductivity $γ\in C^{1+ε}(\ol \Om)$ in the plane domain $Ω$ from the associated Dirichlet to Neumann map on $\partial \Om.$ Hence we improve earlier reconstruction results. The method used relies on a well-known reduction to a first order system, for which the $\ol\partial$-method of inverse scattering theory can be applied.
dc.identifierhttps://arxiv.org/abs/math/0110298
dc.identifierhttp://arxiv.org/abs/math/0110298
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62506
dc.subjectFunctional Analysis
dc.subjectAnalysis of PDEs
dc.titleReconstruction of less regular conductivities in the plane
dc.typetext

Files

Collections

arXiv