Gauge equivalence in inverse stationary transport
Seminar Room 1, Newton Institute
AbstractThis talk concerns the inverse problem of reconstruction of the coefficients appearing in the stationary transport equation, from boundary measurements. The attenuation coefficient is assumed anisotropic. Even in the case when all spatial-angular boundary measurements are available (the full Albedo operator is known) the coefficients can only be recovered up to a gauge transformation. The equivalence classes are shown to depend continuously on the boundary data. The Euclidean and simple Riemmanian case are considered.
This is joint work with Plamen Stefanov and Stephen McDowall.