Propagation of boundary-induced discontinuity in stationary radiative transfer and its application to the optical tomography
Journal
Inverse Problems and Imaging
Journal Volume
13
Journal Issue
2
Pages
337-351
Date Issued
2019
Author(s)
Kawagoe, D.
Abstract
We consider a boundary value problem of the stationary transport equation with the incoming boundary condition in two or three dimensional bounded convex domains. We discuss discontinuity of the solution to the boundary value problem arising from discontinuous incoming boundary data, which we call the boundary-induced discontinuity. In particular, we give two kinds of sufficient conditions on the incoming boundary data for the boundary-induced discontinuity. We propose a method to reconstruct the attenuation coefficient from jumps in boundary measurements.
Type
journal article