Determining nonsmooth first order terms from partial boundary measurements

Details Determining nonsmooth first order terms from partial boundary measurements Determining nonsmooth first order terms from partial boundary measurements

2006-09-05

arxiv.org/abs/math/0609133v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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