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Inverse Boundary Problem for the Two Photon Absorption Transport Equation

Plamen Stefanov, Yimin Zhong

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Source: Crossref

Published: May 2, 2022

DOI: 10.1137/21m1417387

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Source abstract

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

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Inverse Boundary Problem for the Two Photon Absorption Transport Equation — Mathematical Frontier Network