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arXiv · 2207.10194

Recovery of coefficients in semilinear transport equations

Ru-Yu Lai·Gunther Uhlmann·Hanming Zhou
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Abstract

We consider the inverse problem for time-dependent semilinear transport equations. We show that time-independent coefficients of both the linear (absorption or scattering coefficients) and nonlinear terms can be uniquely determined, in a stable way, from the boundary measurements by applying a linearization scheme and Carleman estimates for the linear transport equations. We establish results in both Euclidean and general geometry settings.

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Ru-Yu Lai, Gunther Uhlmann, Hanming Zhou. 2022-07-20. Recovery of coefficients in semilinear transport equations. https://arxiv.org/abs/2207.10194

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