Determining Nonsmooth First Order Terms from Partial Boundary Measurements
Inverse Problems and Imaging(2007)
Aalborg Univ
Abstract
We extend results of Dos Santos Ferreira-Kenig-Sjostrand-Uhlmann (Comm. Math. Phys., 2007) to less smooth coefficients, and we show that measurements on part of the boundary for the magnetic Schrodinger operator determine uniquely the magnetic field related to a Holder 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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Key words
inverse problem for magnetic Schrodinger operator with nonsmooth coefficients,Carleman estimate,semiclassical pseudodifferential calculus.
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