Can I read Uniqueness in the Calder\'on problem via infinitesimally bounded potentials on EtoBox?

Uniqueness in the Calder\'on problem via infinitesimally bounded potentials by Bombach, Clemens is a scholarly article available to read on EtoBox.

What is Uniqueness in the Calder\'on problem via infinitesimally bounded potentials about?

The Calder\'on problem is an inverse problem with applications to electrical impedance tomography and geophysical prospection. We prove uniqueness in the Calder\'on problem in spatial dimension $n \geq 3$ for scalar conductivities in the Sobolev space $W^{1,p}$ with $p \geq n$. This generalizes a result of Haberman who considered the case $p \geq n$ and $n=3$ or $4$. Our method of proof combines a Fourier series approach with an analytic criterion for infinitesimal boundedness of potentials appearing in a Schr\"odinger equation with respect to the Laplacian.

Author

Bombach, Clemens

Published

2016

Language

EN