An inverse source problem in optical molecular imaging

TL;DR

This paper investigates the inverse source problem in optical molecular imaging, demonstrating unique solvability and stability for generic absorption and scattering coefficients in the radiative transfer equation.

Contribution

It establishes the well-posedness of the direct problem and the unique solvability with stability estimates for the inverse problem under generic conditions.

Findings

Direct problem is well-posed for generic coefficients.

Inverse problem has a unique solution with stability.

Results apply to optical molecular imaging models.

Abstract

We study the direct and an inverse source problem for the radiative transfer equation arising in optical molecular imaging. We show that for generic absorption and scattering coefficients, the direct problem is well-posed and the inverse one is uniquely solvable, with a stability estimate.