On an inverse problem for anisotropic conductivity in the plane

Details On an inverse problem for anisotropic conductivity in the plane On an inverse problem for anisotropic conductivity in the plane

2010-03-09

arxiv.org/abs/1003.1880v1

Inverse Problems 26, 2010, 095011

Mathematics

Analysis of PDEs

9 pages, no figure.

Scientific paper

10.1088/0266-5611/26/9/095011

Let $\hat \Omega \subset \real^2$ be a bounded domain with smooth boundary and $\hat \sigma$ a smooth anisotropic conductivity on $\hat \Omega$. Starting from the Dirichlet-to-Neumann operator $\Lambda_{\hat \sigma}$ on $\partial \hat \Omega$, we give an explicit procedure to find a unique domain $\Omega$, an isotropic conductivity $\sigma$ on $\Omega$ and the boundary values of a quasiconformal diffeomorphism $F:\hat \Omega \to \Omega$ which transforms $\hat \sigma$ into $\sigma$.

Affiliated with

Also associated with

No associations

Rating

On an inverse problem for anisotropic conductivity in the plane does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On an inverse problem for anisotropic conductivity in the plane, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On an inverse problem for anisotropic conductivity in the plane will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-455013