The Dirichlet-to-Neumann map uniquely determines the nonlinear coefficients β (Westervelt) and (β, κ) (Kuznetsov) in the JMGT equation when observation time exceeds the longest boundary-to-boundary travel time.
Paternain, Mikko Salo, Günther Uhlmann, and Hanming Zhou,The geodesic X-ray transform with matrix weights, American Journal of Mathematics141(2019), no
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Inverse boundary value problems of determining nonlinear coefficients for the JMGT equation
The Dirichlet-to-Neumann map uniquely determines the nonlinear coefficients β (Westervelt) and (β, κ) (Kuznetsov) in the JMGT equation when observation time exceeds the longest boundary-to-boundary travel time.