Recovery of Coefficients in Semilinear Transport Equations

Ru Yu Lai; Gunther Uhlmann; Hanming Zhou

doi:10.1007/s00205-024-02007-6

Recovery of Coefficients in Semilinear Transport Equations

Ru Yu Lai, Gunther Uhlmann, Hanming Zhou

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Article number	62
Journal	Archive For Rational Mechanics And Analysis
Volume	248
Issue number	4
DOIs	https://doi.org/10.1007/s00205-024-02007-6
State	Published - Aug 2024

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© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.

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Recovery of Coefficients in Semilinear Transport Equations

Abstract

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