Inverse Boundary Problem for the Two Photon Absorption Transport Equation

2021/04/14 by Stefanov, Plamen, Zhong, Yimin · 1 citation
#35R30 #78A46 #80A23 #92C55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2104.06566

Abstract

This work studies the inverse boundary problem for the two photon absorption radiative transport equation. We show that the absorption coefficients and scattering coefficients can be uniquely determined from the albedo operator. If scattering is absent, we do not require smallness of the incoming source and the reconstructions of the absorption coefficients are explicit.

Cited by

• Forward and inverse problems of a semilinear transport equation

Related

• Forward and inverse problems of a semilinear transport equation
• A new numerical approach to inverse transport equation with error analysis
• Uniqueness and Non-uniqueness in inverse radiative transfer
• Unique determination of absorption coefficients in a semilinear transport equation
• Stability for time-dependent inverse transport