Tomography Through the Transport Equation

Tuesday, March 18, 1997 - 11:00am - 12:00pm
Keller 3-180
Dimitri Anikonov (Far Eastern Branch Russian Acad. Sci.)
The transport equation is considered as a mathematical model of passage of the radiation through a medium. The report deals with the inverse problems of the transport equation. These problems consist in determination of the coefficients of the transport equation or their partial characterization provided the intensity of the radiation on the boundary of a given body is known.

Another derection of the investigation is the comparison of various mathematical models used in tomography. For example the models based on the transport equation and the diffusion approximation are considered.