Determining nonsmooth first order terms from partial boundary measurements [article]

Kim Knudsen, Mikko Salo
2006 arXiv   pre-print
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.
arXiv:math/0609133v1 fatcat:jxan7eplwbbj3dbxygda6d7p7u