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Gauge equivalence in inverse stationary transport

Presented by: 
A Tamasan
Date: 
Tuesday 4th October 2011 - 14:00 to 15:00
Venue: 
INI Seminar Room 1
Abstract: 
This 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.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons