Stability in Inverse Transport Theory

the explicit determination of the "spatial parts" of internal sources from suitable (velocity) moments of the solution of integro-differential transport equations

Abstract: In this paper we introduce the randomised stability constant for abstract inverse problems, as a generalisation of the randomised observability constant, which was studied

On peut citer le mod`ele d’Ising ordinaire, le mod`ele de Sherrington-Kirkpatrick et, d’un int´erˆet particulier pour cette th`ese, le mod`ele de

In particular, it is possible to solve the inverse spectral problem for transmission eigenvalues, prove that complex transmission eigenvalues can exist for non-absorbing media and

Novikov, An effectivization of the global reconstruction in the Gel’fand-Calderon inverse problem in three dimensions, Contemporary Mathematics, 494, 2009, 161-184.

Some directions for further work directly related to topics presented in this article include (i) a more systematic development and testing of the reciprocity gap approach as a

First we show how the tomography model described above corresponds to the delays experienced by probes in an appropriately defined queueing network also carrying cross traffic,

These estimates lead to log type stability inequalities for the problem of recovering the solution of the Stokes and Navier-Stokes equations from both boundary and