Determining nonsmooth first order terms from partial boundary measurements
Analysis of PDEs
2007-05-23 v1
Abstract
We extend results of Dos Santos Ferreira-Kenig-Sjoestrand-Uhlmann (math.AP/0601466) to less smooth coefficients, and we show that measurements on part of the boundary for the magnetic Schroedinger operator determine uniquely the magnetic field related to a Hoelder continuous potential. We give a similar result for determining a convection term. The proofs involve Carleman estimates, a smoothing procedure, and an extension of the Nakamura-Uhlmann pseudodifferential conjugation method to logarithmic Carleman weights.
Cite
@article{arxiv.math/0609133,
title = {Determining nonsmooth first order terms from partial boundary measurements},
author = {Kim Knudsen and Mikko Salo},
journal= {arXiv preprint arXiv:math/0609133},
year = {2007}
}