BIRS Workshop Lecture Videos
On increasing stability for attenuation and conductivity coefficients from all boundary measurements Isakov, Victor
By using real and complex geometrical optics solutions and a reduction to a vectorial Schroedinger equation we derive stability estimates for mentioned coefficients where logarithmic (unstable) part goes to zero as the energy/wave number grows. Optimizing with respect to the wave number we conclude that Hoelder type stability instead of logarithmic one can be achieved which promises a substantial increase in (numerical) resolution. We discuss possible further developments.
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