An inverse boundary value problem arising in nonlinear acoustics (2203.02888v1)

Published 6 Mar 2022 in math.AP

Abstract: We consider an inverse problem arising in nonlinear ultrasound imaging. The propagation of ultrasound waves is modeled by a quasilinear wave equation. We make measurements at the boundary of the medium encoded in the Dirichlet-to-Neumann map, and we show that these measurements determine the nonlinearity.

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